Verify that the trigonometric equation is an identity. +1) (tan?a-1) = sec = sec "a-2 seca Which of the following statements establishes the identity? O A. (tan?a+1) (tan a-1) = sin a(1+ cos a) = sin a(1+1- sin a) = sec "a-2 sec a 4 %3D %3D %3D O B. (tan a+1) (tan a-1) = sec a (tan a-1) = sec a (sec a-1-1) sec"a-2 sec?a OC. (tan?a+1) (tan a-1) = OD. (tan a+1) (tana-1) %3D %3D csc a(cota-1) = csc a( csc'a-1-1) = sec "a-2 = cos?a(1+ sin a) = cos a(1+1- cos a) = sec "a-2 sec'a = csc "al csc %3D cos a( 1- ²a(1+1- cosa) = sec "a-2 sec?a = CoS

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 61E
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Verify that the trigonometric equation is an identity.
-2 sec?a
2
(tan a +1) (tana-1) = sec"a
%3D
Which of the following statements establishes the identity?
tan a+1) (tan a-1) = sin a (1+ cos a) = sin a(1+1- sin a) = sec a-2 sec?a
B. (tan a+1) (tan2a-1) = sec?a(tan?u-1) = sec a(sec'a-1-1) = sec "a-2 sec'a
OC. (tan a+1) (tana-1) = csc?a(cot²a-1) = csc?a(csc a-1-1) = sec a-2 sec'a
(tan a+1) (tan?a-1)
O A.
%3D
%3D
= cos "a(1+ sin?a) = cos?a(1+1- cos ?a) = sec "a-2 sec a
= COS
Click to select your answer.
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Transcribed Image Text:Verify that the trigonometric equation is an identity. -2 sec?a 2 (tan a +1) (tana-1) = sec"a %3D Which of the following statements establishes the identity? tan a+1) (tan a-1) = sin a (1+ cos a) = sin a(1+1- sin a) = sec a-2 sec?a B. (tan a+1) (tan2a-1) = sec?a(tan?u-1) = sec a(sec'a-1-1) = sec "a-2 sec'a OC. (tan a+1) (tana-1) = csc?a(cot²a-1) = csc?a(csc a-1-1) = sec a-2 sec'a (tan a+1) (tan?a-1) O A. %3D %3D = cos "a(1+ sin?a) = cos?a(1+1- cos ?a) = sec "a-2 sec a = COS Click to select your answer. esc 80 O00 000 F1 F2 F3 F4 ES D.
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