Be sure that you've familiarized yourself with the first set of formulas presented in this section by working 1–4 in the Concept and Vocabulary Check. In Exercises 1-8, use the appropriate formula to express each product as a sum or difference. 1. sin 6x sin 2x 3. cos 7x cos 3x 2. sin &x sin 4x 4. cos 9x cos 2r 6. sin 2x cos 3x 5. sin x cos 2x 3x -sin: sin, 5x 8. cos 2 7. cos 7 sin 2, 2 2.

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: In Exercises 81–86, use words to describe the formula for each of the following: 81. the cosine of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: sin(A)cos(B)+cos(A)sin(B) Choose. sin(A)cos(B)- cos(A)sin(B) Choose. cos(A-B) tan(A)+ tan(B)…

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Q: In Exercises 16–17, solve each equation for all solutions. Use exact values. 16. tan x sec x = 3 tan…

A: Given equantions tan x  sec x  =3 tan x

Q: For Exercises 3–4, find the LCD of the expressions. 1 cosx sinx sinx 4. cosx' cos?x sinx cosx 3.…

A: Given: 3)  sinxtanx−1; cosxtanx+14)  sinxcosx; 1cos2x; cosxsinx

Q: From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos…

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Q: In Exercises 43–48, find the exact value of each expression. Do not use a calculator. tan 3 1 43.…

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Q: A 10-point question on a quiz asks students to verify the identity sin x – cos x sin x - cos x. sin…

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Q: For Exercises 31–56, perform the indicated operations. Write the answers in standard form, a + bi.…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Example 3: If cos B = sin a, what must be true about a and ß. Explain your reasoning.

A: We have the following statement If cosβ=sinα What must be true about α and β   We know that…

Q: Simplify. cos(-4x) · cos 2x – sin(-4x) · sin 2x cos(-2x_ sin(-6x) cos(-3x) cos(-x)

A: Using Cos(A+B) formula

Q: In Exercises 99–102, find the exact value of each expression. Do not use a calculator. 99. sin cos-…

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: For Exercises 35–38, write the expression in terms of first powers of cosine. (See Example 3) 35.…

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Q: Which statement must be true? A cos(A) = sin(A) B cos(A) = sin(B) C cos(A) = cos(B) D sin(A) =…

A: for the right angle triangle, let the angle A=x C=90 for triangle sum of all 3 angles is 180…

Q: Find exact values for cach expression using sum and difference, double and half angle, or sum to…

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Q: Find the values in Exercises 9–11. 9. sin(cos-1(sqrt(2)/2)) 10. sec(cos-1( 1/2)). 11. tan(sin-1(-1/…

A: Find the value of