Jerify that the trigonometric equation is an identity. sec x+ 1 sec x- 1 = 4 cot x sec x sec x-1 sec x +1 "Vhich of the following statements establishes the identity? O A. sec x+1 sec x-1 (1+ sin x)2 - (1- sin x)? 4 sin x 4 sin x %3D = 4 cot x sec x sec x- 1 sec x+ 1 (1- sin x)(1 + sin x) 1- sin cos x D B. secx+ 1 (1+ cos x)2 - (1- cos x)² sec x- 1 4 cos X 4 cos x %3D sec x-1 sec x +1 (1- cos x)(1+ cos x) 2. 1- cos x %3D sin 2x = 4 cot x sec x OC. sec x+1 sec x - 1 (csc x+ 1)2 -(csc x- 1)2 (csc x-1)( csc x + 1) 4 csc x 4 csc x = 4 cot x sec x %3D %3! %3D sec x- 1 sec x + 1 cscx - 1 2. cotx O D. sec x+1 sec x + 1)2 -(sec x- 1)2 sec x- 1 4 sec x 4 sec x %3! = 4 cot x sec x %3D %3D sec x-1 sec x+ 1 (sec x- 1)( sec x + 1) sec x - 1 tan x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section: Chapter Questions
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Verify that the trigonometric equation is an identity.
sec x+ 1
sec x - 1
2
= 4 cotx sec x
sec x-1
sec x + 1
Which of the following statements establishes the identity?
A. sec x+ 1
(1 + sin x)2 - (1 – sin x)²
sec x - 1
4 sin x
4 sin x
= 4 cotx sec x
4 cot 2,
%3D
%3D
sec x-1 sec x+ 1
(1 – sin x)(1 + sin x)
2.
1 sin<x
2.
cos x
O B. secx+1
sec x - 1
(1+ cos x)² – (1 – cos x)?
4 cos x
4 cos X
2.
%3D
= 4 cot x sec x
2.
sin x
%3D
%3D
sec x- 1
sec x +1
(1 - cos x)(1+ cos x)
2.
1- cos¯x
O C. secx + 1
sec x - 1
(csc x + 1)2 - (csc x- 1)2
4 csc X
4 csc X
= 4 cot2x sec
!!
sec x- 1
sec x + 1
(csc x- 1)( csc x+ 1)
2.
csc x - 1
|
cot x
OD.
sec x+ 1
sec x- 1
sec x + 1) - (sec x- 1)2
4 sec x
4 sec x
= 4 cot ?x se
%3D
sec x-1
(sec x- 1)( sec x + 1)
2x-1
cot x seC X
sec x+ 1
2.
tan x
|
sec-x:
Transcribed Image Text:Verify that the trigonometric equation is an identity. sec x+ 1 sec x - 1 2 = 4 cotx sec x sec x-1 sec x + 1 Which of the following statements establishes the identity? A. sec x+ 1 (1 + sin x)2 - (1 – sin x)² sec x - 1 4 sin x 4 sin x = 4 cotx sec x 4 cot 2, %3D %3D sec x-1 sec x+ 1 (1 – sin x)(1 + sin x) 2. 1 sin<x 2. cos x O B. secx+1 sec x - 1 (1+ cos x)² – (1 – cos x)? 4 cos x 4 cos X 2. %3D = 4 cot x sec x 2. sin x %3D %3D sec x- 1 sec x +1 (1 - cos x)(1+ cos x) 2. 1- cos¯x O C. secx + 1 sec x - 1 (csc x + 1)2 - (csc x- 1)2 4 csc X 4 csc X = 4 cot2x sec !! sec x- 1 sec x + 1 (csc x- 1)( csc x+ 1) 2. csc x - 1 | cot x OD. sec x+ 1 sec x- 1 sec x + 1) - (sec x- 1)2 4 sec x 4 sec x = 4 cot ?x se %3D sec x-1 (sec x- 1)( sec x + 1) 2x-1 cot x seC X sec x+ 1 2. tan x | sec-x:
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