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4. cos 3θ + cos θ = 4 cos^3 θ – 2 cos θ 5. cosx/sec2x −sinx/csc2x = cos3? 6.1+cotx/cotx−1 = 1+sin2x/cos2x

4. cos 3θ + cos θ = 4 cos^3 θ – 2 cos θ 5. cosx/sec2x −sinx/csc2x = cos3? 6.1+cotx/cotx−1 = 1+sin2x/cos2x

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Answer 4-10 using:

OTHER TRIGONOMETRIC IDENTITIES
A. Functions of the Sum and Difference of Two Angles
B. Functions of Twice an Angle

C. Functions of Half an Angle

D. Sum and Difference of Functions

E. Product-to-Sum Identities

 

4. cos 3θ + cos θ = 4 cos^3 θ – 2 cos θ

5. cosx/sec2x −sinx/csc2x = cos3?

6.1+cotx/cotx−1 = 1+sin2x/cos2x

7. 2cot4x = cot2x – tan2x

8. tan 6a sec 3a = 2sin 3a sec 6a

9. sec2 2x – 1 = 1−cos4x/1 + cos4x

10. csc (A − B) = cscA cscB/cotB − cotA

HOMEWORK 10: 1. sin? 2x = 4 sin?x cos? x 2. cot 20 = csc 8– 2 sin e 2 cos e csc? a 3. sec 2a = cot? a-1 4. cos 30 + cos e = 4 cos³ e-2 cos e sin x cosx 5. sec 2x = cos 3x csc 2x 1+sin 2x 1+cotx 6. cotx-1 %3D cos 2x 7. 2 cot 4x = cot 2x – tan 2x 8. tan 6a sec 3a = 2 sin 3a sec 6a 1- cos 4x 9. sec2 2x -1 = 1+ cos 4x csc A csc B 10. csc (A — В) cotB-cotA
Transcribed Image Text:HOMEWORK 10: 1. sin? 2x = 4 sin?x cos? x 2. cot 20 = csc 8– 2 sin e 2 cos e csc? a 3. sec 2a = cot? a-1 4. cos 30 + cos e = 4 cos³ e-2 cos e sin x cosx 5. sec 2x = cos 3x csc 2x 1+sin 2x 1+cotx 6. cotx-1 %3D cos 2x 7. 2 cot 4x = cot 2x – tan 2x 8. tan 6a sec 3a = 2 sin 3a sec 6a 1- cos 4x 9. sec2 2x -1 = 1+ cos 4x csc A csc B 10. csc (A — В) cotB-cotA
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