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11. Prove each identity. cos 2x + 1 a) sin 2x = cot x h) CSc 2x + cot 2x = cot x sin 2x 2 tan x b) 1 = cot x i) 1 + tan´ x = sin 2x Cos 2x c) (sin x + cos x)? = 1 + sin 2x sin 0 COS CSc t d) cos 0 = cos 20 j) sec 2t = CSc t - 2 sin t

11. Prove each identity. cos 2x + 1 a) sin 2x = cot x h) CSc 2x + cot 2x = cot x sin 2x 2 tan x b) 1 = cot x i) 1 + tan´ x = sin 2x Cos 2x c) (sin x + cos x)? = 1 + sin 2x sin 0 COS CSc t d) cos 0 = cos 20 j) sec 2t = CSc t - 2 sin t

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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11. Prove each identity. T cos 2x + 1 a) sin 2x = cot x h) CSc 2x + cot 2x = cot x sin 2x 2 tan x b) 1 = cot x i) 1 + tan´ x = sin 2x Cos 2x c) (sin x + cos x)? = 1 + sin 2x COS CSc t d) cos 0 – sin* 0 = cos 20 j) sec 2t = CSc t - 2 sin t e) cot 0 – tan 0 = 2 cot 20 1 (sec 0) ( csc 0) 2 f) cot 0 + tan 0 = 2 csc 20 k) Csc 20 1 + tan x g) TT sin 2t cos 2t tan 1) sec t = – tan x sin t COs t
Transcribed Image Text:11. Prove each identity. T cos 2x + 1 a) sin 2x = cot x h) CSc 2x + cot 2x = cot x sin 2x 2 tan x b) 1 = cot x i) 1 + tan´ x = sin 2x Cos 2x c) (sin x + cos x)? = 1 + sin 2x COS CSc t d) cos 0 – sin* 0 = cos 20 j) sec 2t = CSc t - 2 sin t e) cot 0 – tan 0 = 2 cot 20 1 (sec 0) ( csc 0) 2 f) cot 0 + tan 0 = 2 csc 20 k) Csc 20 1 + tan x g) TT sin 2t cos 2t tan 1) sec t = – tan x sin t COs t
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