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11. Prove each identity. T cos 2x + 1 a) cot x %3D sin 2x sin 2x b) 1 - cos 2x cot x c) (sin x + cos x)? = 1 + sin 2x 4 d) cos" 0 – sin* 0 = ços 2A = Cos

11. Prove each identity. T cos 2x + 1 a) cot x %3D sin 2x sin 2x b) 1 - cos 2x cot x c) (sin x + cos x)? = 1 + sin 2x 4 d) cos" 0 – sin* 0 = ços 2A = Cos

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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All of them except a b c
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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