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h) csc 2x + cot 2x = cot x %3D 2 tan x i) 1 + tan? x %3D sin 2x CSc t d) cos 0 – sin* 0 = cos 20 j) sec 2t Csc t 2 sin t e) cot cot 0- tan 0 = 2 cot 20 %3D 1 sec 0) (csc t) k) csc 20 f) cot 0 + tan 0 = 2 csc 20 %3D 1 + tan x g) 1 – tan x (**) TT sin 2t cos 2t tan 1) sec t = 4 - sin t COs t

h) csc 2x + cot 2x = cot x %3D 2 tan x i) 1 + tan? x %3D sin 2x CSc t d) cos 0 – sin* 0 = cos 20 j) sec 2t Csc t 2 sin t e) cot cot 0- tan 0 = 2 cot 20 %3D 1 sec 0) (csc t) k) csc 20 f) cot 0 + tan 0 = 2 csc 20 %3D 1 + tan x g) 1 – tan x (**) TT sin 2t cos 2t tan 1) sec t = 4 - sin t COs t

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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11. Prove each identity. h) Csc 2x + cot 2x = cot x 2 tan x = sin 2x 1 + tan x 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 (sec ) (cse ) 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 1)
Transcribed Image Text:11. Prove each identity. h) Csc 2x + cot 2x = cot x 2 tan x = sin 2x 1 + tan x 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 (sec ) (cse ) 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 1)
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