11. Prove each identity. h) csc 2x + cot 2x = cot x 2 tan x i) 1 + tan´ x sin 2x 2 CSc t j) sec 2t = CSc t- 2 sin t 1 k) csc 20 sec 0) ( csc t) 2 %3D f) cot 0 + tan 0 = 2csc 20 1 + tan x TT sin 2t Cos 2t = tan 1) sec t = tan x 4 sin f COs t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 81E
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11. Prove each identity.
T
h)
Csc 2x + cot 2x = cot x
2 tan x
i)
1 + tan x
= sin 2x
CSc t
j)
sec 2t =
CSc t -
2 sin t
(sec 0) (csc ) )
2
f) cot 0 + tan 0
2csc 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 h) Csc 2x + cot 2x = cot x 2 tan x i) 1 + tan x = sin 2x CSc t j) sec 2t = CSc t - 2 sin t (sec 0) (csc ) ) 2 f) cot 0 + tan 0 2csc 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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