Prove each of the following identities. (a) cosec 2x + cot 2x cosec 2x 7. - cosec x %3D 1+ cos x + cos 2x (b) = cot x sin x + sin 2x k) sin' x + cos'x = (sin x + cos x) 1- sin 2.x Sth sin ' 플 = tan x- sin x 2 2 tan x

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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Detween the curves
y = cos 2x and y = 1 + sin x, where
0° <x< 360°,
Prove each of the following identities.
(a) cosec 2.x + cot 2x cosec 2x
- cosec x
%3D
(b)
I+ cos x + cos 2x
sin x + sin 2x
= cot x
O sin' x + cos' x
(sin x + cos x) 1-
sin 2.x
%3D
tan x-sin x
Sch sin
2
2 tan x
Transcribed Image Text:Detween the curves y = cos 2x and y = 1 + sin x, where 0° <x< 360°, Prove each of the following identities. (a) cosec 2.x + cot 2x cosec 2x - cosec x %3D (b) I+ cos x + cos 2x sin x + sin 2x = cot x O sin' x + cos' x (sin x + cos x) 1- sin 2.x %3D tan x-sin x Sch sin 2 2 tan x
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