3. Find sin() using each of the following methods: a. Write b. Write c. Write as a sum of special angles and use an appropriate identity. as a difference of special angles and use an appropriate identity. as a half-angle and use an appropriate identity.
3. Find sin() using each of the following methods: a. Write b. Write c. Write as a sum of special angles and use an appropriate identity. as a difference of special angles and use an appropriate identity. as a half-angle and use an appropriate identity.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
3. find sin (7pi/12) using each of the following methods.
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f1d47cb-7f87-43e8-86f5-c8c5f538769d%2Ff5adbfaf-9738-4dd0-ae04-33e1171677b5%2F7do3rdd_processed.png&w=3840&q=75)
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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