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g. sin (5) 2. Prove each of the following using identities, showing all work in the process. a. cos (+) + sin(x) = 0 b. cos (r) sin(x) = cos(2x) 1+sin(2x) = 1+ /secx csc x sin(2x) 3 Find sin(7) using each of the following methods:

g. sin (5) 2. Prove each of the following using identities, showing all work in the process. a. cos (+) + sin(x) = 0 b. cos (r) sin(x) = cos(2x) 1+sin(2x) = 1+ /secx csc x sin(2x) 3 Find sin(7) using each of the following methods:

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.4: Roots Of A Complex Number
Problem 42PS
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2. Prove each of the following using identities, showing all work in the process. 

Prompts for Week 7 Collaborative Written Assignment A 1. Suppose we know sin a = and 0 < a < 1, and suppose we also know cos 3 = 2√5 and - < 3 < 0. Use this to find the exact values (not decimal approximations) for each of the following, showing all work in your process, and illustrating each on a unit circle: a. sin(a + 3) b. cos(a + B) c. tan(a 3) (Hint for this one: Use the definition of tangent and the related formulas for sine and cosine, then simplify.) d. sin(2a) e. cos(2/3) f. cos (2) g. sin (2) 2. Prove each of the following using identities, showing all work in the process. a. cos(x+3)+sin(x) = 0 b. cos(x) sin(x) = cos(2x) 1+sin(2x) C. 1+ secx x CSC x sin(2x) 3. Find sin() using each of the following methods: a. Write as a sum of special angles and use an appropriate identity. b. Write as a difference of special angles and use an appropriate identity. c. Write as a half-angle and use an appropriate identity. 4. Write the function f (a) = sin(3a) -√3 cos(3a) using a single sine function and use the result to find the zeros of f (a) in [0, 27). Be sure to show all steps in your process. 5. Solve 2 sin(20) = 3 sin for solutions 0 = [0, 2π).
Transcribed Image Text:Prompts for Week 7 Collaborative Written Assignment A 1. Suppose we know sin a = and 0 < a < 1, and suppose we also know cos 3 = 2√5 and - < 3 < 0. Use this to find the exact values (not decimal approximations) for each of the following, showing all work in your process, and illustrating each on a unit circle: a. sin(a + 3) b. cos(a + B) c. tan(a 3) (Hint for this one: Use the definition of tangent and the related formulas for sine and cosine, then simplify.) d. sin(2a) e. cos(2/3) f. cos (2) g. sin (2) 2. Prove each of the following using identities, showing all work in the process. a. cos(x+3)+sin(x) = 0 b. cos(x) sin(x) = cos(2x) 1+sin(2x) C. 1+ secx x CSC x sin(2x) 3. Find sin() using each of the following methods: a. Write as a sum of special angles and use an appropriate identity. b. Write as a difference of special angles and use an appropriate identity. c. Write as a half-angle and use an appropriate identity. 4. Write the function f (a) = sin(3a) -√3 cos(3a) using a single sine function and use the result to find the zeros of f (a) in [0, 27). Be sure to show all steps in your process. 5. Solve 2 sin(20) = 3 sin for solutions 0 = [0, 2π).
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