4. 1 + tanx 1- sinx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 22RE
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1-22 - Proving Identities Verify the identity.
1. sin 0 (cot 0 + tan 0) = sec 0
2. (sec 0 - 1)(sec 0 + 1) = tan²0
3. cos'x csc x - csc x = -sin x
= 1 + tanʼx
sinx
4.
cosx - tanx
5.
= cotx – sec'x
sinx
1+ sec x
6.
sin'x
sec x
1- cos x
cosx
7.
cos x
sin x
sec x - tan x
8. (1 - tan x)(1 - cot x) = 2 - sec x csc x
Transcribed Image Text:1-22 - Proving Identities Verify the identity. 1. sin 0 (cot 0 + tan 0) = sec 0 2. (sec 0 - 1)(sec 0 + 1) = tan²0 3. cos'x csc x - csc x = -sin x = 1 + tanʼx sinx 4. cosx - tanx 5. = cotx – sec'x sinx 1+ sec x 6. sin'x sec x 1- cos x cosx 7. cos x sin x sec x - tan x 8. (1 - tan x)(1 - cot x) = 2 - sec x csc x
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