1. Let - Tt /4< x <0. Given that tan 2x = -2, solve for tan x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Double and Half Angle Identities
1. Let - Tt /4< x <0. Given that tan 2x = -2,
solve for tan x.
2. Obtain an identity for tan 40 in terms of
tan 0.
3. Solve for the exact value of cot 40 if
tane = 1/2
4. Use half-angle identities to find the
exact value of (a) sin^2 15° and (b) cos^2
15°.
5. Use half-angle identities to find the
exact value of (a) sin^2 5t/8 and (b)
cos^2 5t/8
Transcribed Image Text:Double and Half Angle Identities 1. Let - Tt /4< x <0. Given that tan 2x = -2, solve for tan x. 2. Obtain an identity for tan 40 in terms of tan 0. 3. Solve for the exact value of cot 40 if tane = 1/2 4. Use half-angle identities to find the exact value of (a) sin^2 15° and (b) cos^2 15°. 5. Use half-angle identities to find the exact value of (a) sin^2 5t/8 and (b) cos^2 5t/8
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