Evaluate each expression.es001 1.jpg - The order of operations is used to evaluate and simplify composite functions, working from the inside out by substituting one function in place of the variable for another funtion. Steps outlined to algebraically find the inverse function: Substitute f (x) with y. Reverse the x and y variables. Solve for y. Replace y with the inverse notation f ...

 
To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input ... . Ebt at papa murphy

However, this isn't necessary, since you can just change the expression inside the sum to get the same effect. So if you have the sum from i=1 to 10 of i², and you want to i to step by 1/3 instead of 1, you can change the expression i² to (1+(i-1)/3)², and have i go from i=1 to 28.Equivalent expressions are expressions that work the same even though they look different. According to the given question. We have a statement " 36 superscript negative one haft". The mathematical expression for the above statement is . The above mathematical expression can be written as. Therefore, the equivalent expression for is given byWhat is the simplest form of mc001-1.jpg. (A) sqrt 2. Which expression should you multiply the numerator and denominator of mc001-1.jpg by to rationalize the denominator? C. What is mc002-1.jpg in simplest form? A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two ...Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from part d, where y0=0. 75m, α=0. 95s−1, and ω=6. 3s−1.Given constraints: x es002-1.jpg 0, y es002-2.jpg 0, 2x + 2y es002-3.jpg 4, x + y es002-4.jpg 8. Explain the steps for maximizing the objective function P = 3x + 4y. Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon.richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Equivalent expressions are expressions with equal ... Evaluate the like terms. 2(x-7)- 2(2x-5) = -2x -4 ... Identify the reference angle es001-1. Jpg for each given ...Then evaluate each expression if r 2, s 5, and t 1 2 . (Lesson 1-2) 53. r squared increased by 3 times s 54. t times the sum of four times s and r 55. the sum of r and s times the square of t 56. r to the fifth power decreased by t Evaluate each expression. (Lesson 1-2) 57. 53 3(42) 58. 38 2 1 1 3 2 59. Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from part d, where y0=0. 75m, α=0. 95s−1, and ω=6. 3s−1.May 8, 2018 · The value of heat of the reaction for the given chemical reaction is equal to -175.91 kJ.. How do we calculate the change in enthalpy of the reaction? Change in enthalpy of the reaction is calculated by substracting the total sum of enthalpies of reacatnts from the the total sum of the enthalpies of products. Basic Math. Math Calculator. Step 1: Enter the expression you want to evaluate. The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result! What is the value of mc005-1.jpg? -2. What is the value of log 43? Use the calculator. Round your answer to the nearest tenth. 1.6. Which logarithmic equation is equivalent to 32 = 9? 2=log2 (9) The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation mc026-1.jpg, where I is the intensity of a given ... Dec 21, 2021 · The simplified expression of the ... Express 4 as the square of 2. Multiply the radicals. Evaluate the products ... Identify the reference angle es001-1. Jpg for each ... This is the beginning of Order of Operations. We do parentheses first, then multiplying or dividing next (from left to right), then addition and subtraction ...Dec 1, 2017 · We write numbers in exponent form because it is more compact to write repetitive multiplications a large number of times.It defines how many times a number is being multiplied to it self. We know exponents describe how many times a number is repetitively multiplied by itself. Given 27^2/27^4/3 which can be written as which is = . The power of half, shows the radical surd form of a number. To eliminate this fractional power, square both the sides. Solve the equation further as, Thus to complete the work first subtract with 5 both side of expression, then square both side to find the possible solution of equation which is 14. Learn more about the radical surd here;CH3OH(l) mc015-1.jpg CH3OH(aq) K3PO4(s) mc015-2.jpg 3K+(aq) + Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to I need some help with a handful of questions.May 2, 2022 · exercise 2.3.10. Evaluate: 5x − 2y − 9 when x = 7 and y = 8. Answer. Example 2.3.6: evaluate. Evaluate 2x2 + 3x + 8 when x = 4. Solution. We need to be careful when an expression has a variable with an exponent. In this expression, 2x2 means 2 ∙ x ∙ x and is different from the expression (2x)2, which means 2x ∙ 2x. Study with Quizlet and memorize flashcards containing terms like Write the following expression as a single logarithm with coefficient 1. log3(6c) + log3112, Complete the steps to evaluate log798, given log72 ≈ 0.356. How can you rewrite log798 using the product property?, Write the following expression as a single logarithm with coefficient 1. log910 − log9 12 − log94 and more.A composite functions is gotten from the combination of two or more functions. Given that: This is calculated as follows: Calculate r (4) and s (4) So, we have: This is calculated as follows: Calculate r (3) and s (3) So, we have: Read more about composite functions at:Aug 29, 2021 · Answer to Identify each of the following as rational or irrational. square root of 23 104.42 square root of 64 49.39overline 6 10.97846727460 This is the beginning of Order of Operations. We do parentheses first, then multiplying or dividing next (from left to right), then addition and subtraction ...Mar 29, 2018 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 Use the identity below to complete the tasks: a3 + b3 = (a + b) (a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3. What is a? What is b? Factor the expression. es003-1.jpg es003-2.jpg es004-1.jpg es005-1.jpg es006-1.jpg.Video transcript. - So we have the graphs of two functions here. We have the graph y equals f of x and we have the graph y is equal to g of x. And what I wanna do in this video is evaluate what g of, f of, let me do the f of it another color, f of negative five is, f of negative five is. And it can sometimes seem a little daunting when you see ...Study with Quizlet and memorize flashcards containing terms like Which of the following show a geometric series? Select all that apply., Identify the value of r and a1 for each geometric series., 0.25 + 1 + 4 + 16 + 64 Enter the values used in finding a partial sum. and more.To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input ... Use the equation es001-1.jpg how many potential solutions are there? Once you've done this, simplify using the order of operations. Evaluate each expression. es001-1.jpg - Brainly.in. Evaluate each expression. es001-1.jpgOct 5, 2020 · Answer: (Question 1) a= 10 b= 6 (Question 2) a= 2 b= 3 c= 8. Step-by-step explanation: Edgenuity 2021 (Simplifying Products and Quotients of Powers) CH3OH(l) mc015-1.jpg CH3OH(aq) K3PO4(s) mc015-2.jpg 3K+(aq) + Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to I need some help with a handful of questions.Dec 21, 2021 · The simplified expression of the ... Express 4 as the square of 2. Multiply the radicals. Evaluate the products ... Identify the reference angle es001-1. Jpg for each ... Evaluate this (-1/5)^2. Help! 4/5x - 1/4x = 11 -0.65x + 0.45x = 5.4 (answer must fit the layout) which place do I use to compare 60,618 and 60,647? Evaluate the expression when =x−7 and =y2 . −x6y.Jan 3, 2022 · Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Algebra. Evaluate (25^ (-3/2))^ (1/3) (25−3 2)1 3 ( 25 - 3 2) 1 3. Multiply the exponents in (25−3 2)1 3 ( 25 - 3 2) 1 3. Tap for more steps... 25−1 2 25 - 1 2. Rewrite the expression using the negative exponent rule b−n = 1 bn b - n = 1 b n. 1 251 2 1 25 1 2. Simplify the denominator. Find the product es001-1.jpg on E.D.G 8/6n-4 *(9n2-4) ... Find the length of each side of a square plot having perimeter 172 m Find the place value of 1 in 915,342,76 ...Feb 23, 2020 · Simplify each expression. - 2650912 ... Simplify each expression. mc001-1.jpg See answer Advertisement Advertisement shekinahdawne shekinahdawne =tjk 89 because it is ... Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result!About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...The expression can be written as: We know that cube root can also be written as the power of 1/3, So. Multiplying the power with both variables. Simplifying the equation to get final form. As we can see that it is similar to the option B which is. B) x superscript five-thirds Baseline y superscript one- third. the correct option is BIn the video below we show another example of how to use the order of operations to simplify an expression that contains exponents and grouping symbols. Simplify: 23 +34 ÷3−52 2 3 + 3 4 ÷ 3 − 5 2. If an expression has several exponents, they may be simplified in the same step. Simplify exponents. Divide.shown on the unit circle. x =. -1/2. y=? - sqrt 3/2. Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I. The angles that share the same cosine value as cos 45° have terminal sides in quadrant . IV. The angles that share the same sine value as sin (45°) have terminal sides in quadrant.10 Multi-Language Glossary atChapter 1 Numerical Expressions and Factors 1.2 Lesson BigIdeasMath.com Key Vocabulary numerical expression, p. 10 evaluate, p. 10 order of operations, p. 10 a. Evaluate 12 − 2 × 4. 12 − 2 × 4 = 12 − 8 Multiply 2 and 4. = 4 Subtract 8 from 12. b. Evaluate 60 ÷ [(4 + 2) × 5].Basic Math. Math Calculator. Step 1: Enter the expression you want to evaluate. The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result!Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result! Since we are not given the exact radian value to convert, we can assume the value of radians. Using the conversion factor: To convert radians to degrees, we will write: radians = x. Divide both expressions: Hence the value of radians to degrees is 90 degrees.Where is each point located on the graph? -3 + 8i is: in quadrant II. 4i is: on the vertical axis. 6 is: on the horizontal axis. 5-2i is: in quadrant IV. Select the expression that is equivalent to |4-3i|. 5. Compare and contrast the absolute value of a real number to that of a complex number. imaginary number complex plane real number negative ...Study with Quizlet and memorize flashcards containing terms like Evaluate the given expression. 10 C 4 * 4 C 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270, Compute the following: 7!/3! a. 1680 b. 840 c. 21 d. 4, Compute the following. 325 C 1 a. 325 b. 324 c. 1 d. 326 and more. Do not find the value of this expression. Read the Lesson 1. There is a customary order for grouping symbols. Brackets are used outside of parentheses. Braces are used outside of brackets. Identify the innermost expression(s) in each of the following expressions. a. [(3 2 2) 8] 4]} 2 2) b. 9 [5(8 6) 2(10 7)] (8 6) and (10 7) c. {14 [8 (3 12) 2 ... Divide each term in by . ... Rewrite the expression. Step 7.3.5.5. Evaluate the exponent. ... Step 7.5.1. Combine using the product rule for radicals. The products of numbers or expressions is calculated by multiplying the numbers or expressions. The simplified product of is . How to determine the simplified product? The product is given as: Express 64 as 4^3. Express x^9 as (x^3)^3. Evaluate the cube roots. Express x^5 as x^3 * x^2. Evaluate the cube root. Multiply. Hence, the simplified ...Equivalent expressions are expressions that work the same even though they look different. According to the given question. We have a statement " 36 superscript negative one haft". The mathematical expression for the above statement is . The above mathematical expression can be written as. Therefore, the equivalent expression for is given byUse the given graph to determine if there are any solutions to the equation − (5)3 − x + 4 = −2x. A. The solution is approximately 1.7 because it is the x-value of the intersection of the functions. We have an expert-written solution to this problem! Find the solutions to the equation 102x + 11 = (x + 6)2 - 2.Notice that [latex]x+1[/latex] is a common factor to the numerator and the denominator. The zero of this factor, [latex]x=-1[/latex], is the location of the removable discontinuity. Notice also that [latex]x - 3[/latex] is not a factor in both the numerator and denominator. The zero of this factor, [latex]x=3[/latex], is the vertical asymptote. First go to the Algebra Calculator main page. Type the following: First type the expression 2x. Then type the @ symbol. Then type x=3. Try it now: 2x @ x=3 Clickable Demo Try entering 2x @ x=3 into the text box. After you enter the expression, Algebra Calculator will evaluate 2x for x=3: 2 (3) = 6. More Examples CH3OH(l) mc015-1.jpg CH3OH(aq) K3PO4(s) mc015-2.jpg 3K+(aq) + Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to I need some help with a handful of questions.To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input ...Dilation - stretching or compressing the graph of a function. Move the slider on the graph to graph each function and describe the transformation. y=2_/x. vertical stretch. y=0.5_/x. vertical compression. Which of the following statements are true? Check all of the boxes that apply. A.Study with Quizlet and memorize flashcards containing terms like Evaluate the given expression. 10 C 4 * 4 C 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270, Compute the following: 7!/3! a. 1680 b. 840 c. 21 d. 4, Compute the following. 325 C 1 a. 325 b. 324 c. 1 d. 326 and more. The given expression is a sum of two cubes. The factorization of the given expression is . Given: The given identity is, . It is required to factorize using the given identity. The given expression can be written in the form of sum of two cubes as, Here, a and b are and respectively. Now, the factorization of the given expression can be one as,In Exercises 83–90, evaluate each expression without using a calculator. 27^(1/3) Start typing, then use the up and down arrows to select an option from the list. May 6, 2020 · Answer: Step-by-step explanation: The picture helps a lot in understanding what the problem is. I could not understand what you typed. OK, I can evaluate these log expressions. Dilation - stretching or compressing the graph of a function. Move the slider on the graph to graph each function and describe the transformation. y=2_/x. vertical stretch. y=0.5_/x. vertical compression. Which of the following statements are true? Check all of the boxes that apply. A.May 19, 2020 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 Jan 23, 2017 · A composite functions is gotten from the combination of two or more functions. Given that: This is calculated as follows: Calculate r (4) and s (4) So, we have: This is calculated as follows: Calculate r (3) and s (3) So, we have: Read more about composite functions at: Evaluate this (-1/5)^2. Help! 4/5x - 1/4x = 11 -0.65x + 0.45x = 5.4 (answer must fit the layout) which place do I use to compare 60,618 and 60,647? Evaluate the expression when =x−7 and =y2 . −x6y.Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from part d, where y0=0. 75m, α=0. 95s−1, and ω=6. 3s−1.Nov 11, 2016 · Verified answer. 1.) Evaluate the indicated function, where f (x) = x2 − 8x + 3and g (x) = 7x − 5. (f + g) (5)= 2.) Evaluate the indicated function, where f (x) = x2 − 7x + 4 and g (x) = 6x − 7. (f + g) (1/2)= 3.) Evaluate the indicated function, where f (x) = x2 − 3x + 4 and g (x) = 4x − 2. (f − g) (−1)= 4.) richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Find an answer to your question Vincent wrote an example of a proportion on the board. es002-1.jpg Evaluate Vincent’s proportion to determine if it is correct.… helplease helplease 10.10.2020Mar 26, 2018 · The power of half, shows the radical surd form of a number. To eliminate this fractional power, square both the sides. Solve the equation further as, Thus to complete the work first subtract with 5 both side of expression, then square both side to find the possible solution of equation which is 14. Learn more about the radical surd here; Divide each term in by . ... Rewrite the expression. Step 7.3.5.5. Evaluate the exponent. ... Step 7.5.1. Combine using the product rule for radicals.Basic Math. Math Calculator. Step 1: Enter the expression you want to evaluate. The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result! What is mc002-1.jpg in radical form? A) 3√6^2. Find the product with the exponent in simplest form. Then, identify the values of x and y. x= 7, y= 12. Write the expression 6 7/12 in radical form. B) 12√6^7.Chapter 1 A3 Glencoe Algebra 2 Answers Answers (Lesson 1-1) Skills Practice Expressions and Formulas Find the value of each expression. 1. 18 2 3 27 2. 9 6 2 1 13 3. (3 8) 2 (4) 3 97 4. 5 3(2How to Determine an Odd Function. Important Tips to Remember: If ever you arrive at a different function after evaluating [latex]\color{red}–x[/latex] into the given [latex]f\left( x \right)[/latex], immediately try to factor out [latex]−1[/latex] from it and observe if the original function shows up. A determinant is a property of a square matrix. The value of the determinant has many implications for the matrix. A determinant of 0 implies that the matrix is singular, and thus not invertible. A system of linear equations can be solved by creating a matrix out of the coefficients and taking the determinant; this method is called Cramer's ... Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees.richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25What is the simplest form of mc001-1.jpg. (A) sqrt 2. Which expression should you multiply the numerator and denominator of mc001-1.jpg by to rationalize the denominator? C. What is mc002-1.jpg in simplest form? A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two ...Oct 10, 2020 · Find an answer to your question Vincent wrote an example of a proportion on the board. es002-1.jpg Evaluate Vincent’s proportion to determine if it is correct.… helplease helplease 10.10.2020 Equivalent expressions are expressions with equal ... Evaluate the like terms. 2(x-7)- 2(2x-5) = -2x -4 ... Identify the reference angle es001-1. Jpg for each given ...The first step is to change the equations into y format. y= mx + b. The y- intercept of this graph is at the point (0,2). Since the line is going down, the slope is negative.

richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25. Effingham manpercent27s garage sale

evaluate each expression.es001 1.jpg

shown on the unit circle. x =. -1/2. y=? - sqrt 3/2. Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I. The angles that share the same cosine value as cos 45° have terminal sides in quadrant . IV. The angles that share the same sine value as sin (45°) have terminal sides in quadrant.Use the identity below to complete the tasks: a3 + b3 = (a + b) (a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3. What is a? What is b? Factor the expression. es003-1.jpg es003-2.jpg es004-1.jpg es005-1.jpg es006-1.jpg.Aug 29, 2021 · Answer to Identify each of the following as rational or irrational. square root of 23 104.42 square root of 64 49.39overline 6 10.97846727460 richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Study with Quizlet and memorize flashcards containing terms like Which graph shows the solution to the equation 4x - 3 = 8?, To solve e4 - 3x = mr001-1.jpgx + 9 by graphing, which equations should be graphed?, Complete the steps to solve the equation 4e2 + 2x = x − 3 by graphing.Apr 10, 2017 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 Apr 10, 2017 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 Study with Quizlet and memorize flashcards containing terms like Which of the following show a geometric series? Select all that apply., Identify the value of r and a1 for each geometric series., 0.25 + 1 + 4 + 16 + 64 Enter the values used in finding a partial sum. and more.The first step is to change the equations into y format. y= mx + b. The y- intercept of this graph is at the point (0,2). Since the line is going down, the slope is negative.Larry's pet store made $30 before a pipe burst and he had to close early to get it fixed. He realized that he lost es001-1.jpg of a dollar each hour that the store was closed. If the expression that models this situation is 30 es001-2.jpg, what is Larry's profit if the store was closed for 8 hours? $ Feb 21, 2022 · Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. A. Solve: 3 ln x = ln 216. B. Identify the solution set of 3 ln 4 = 2 ln x. C 8. Identify the solution set of 6 ln e = eln 2x. B 3. A town predicts that its population will double in es001-1.jpg years. Simplify the expression.Study with Quizlet and memorize flashcards containing terms like Write the following expression as a single logarithm with coefficient 1. log3(6c) + log3112, Complete the steps to evaluate log798, given log72 ≈ 0.356. How can you rewrite log798 using the product property?, Write the following expression as a single logarithm with coefficient 1. log910 − log9 12 − log94 and more.Mar 14, 2018 · The given expression is a sum of two cubes. The factorization of the given expression is . Given: The given identity is, . It is required to factorize using the given identity. The given expression can be written in the form of sum of two cubes as, Here, a and b are and respectively. Now, the factorization of the given expression can be one as, Well, the textbook answer is that there are only 6 trig ratios, which we have already covered. However, if you really want to devel into the topic, the historical answer would be that there are at least 12 ratios, which include the ones we've learned and some new ones which are versine, haversine, coversine, hacoversine, exsecant, and excosecant..

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