Verify the identity. 2 tan X-CSC tan x-csc X 2 X = tan x + csc X

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
Verify the identity.
2
OB.
O C.
2
X- CSC X
tan
tan x-csc X
Which of the following four statements establishes the identity?
OA. tan ² x - csc ² x
2
=
tan x- csc X
O D.
= tan x + CSC X
2
2
2
sc² x
tan x- cSc
tan x- csc X
tan ² x-csc² x
tan x-csc X
2
tan
X-CSC X (tan x+ csc x)(tan x + csc x)
tan x- csc X
tan x- csc X
11
=
tan² x
tan x
=
csc ² x
2
CSC X
= tan x + csc X
(tan x+ csc x)(tan x- csc x)
tan x- csc X
(tan x+ csc x)(tan x- csc x)
tan x + csc X
= tan x + cSC X
= tan x + cSC X
= tan x + csc X
Transcribed Image Text:Verify the identity. 2 OB. O C. 2 X- CSC X tan tan x-csc X Which of the following four statements establishes the identity? OA. tan ² x - csc ² x 2 = tan x- csc X O D. = tan x + CSC X 2 2 2 sc² x tan x- cSc tan x- csc X tan ² x-csc² x tan x-csc X 2 tan X-CSC X (tan x+ csc x)(tan x + csc x) tan x- csc X tan x- csc X 11 = tan² x tan x = csc ² x 2 CSC X = tan x + csc X (tan x+ csc x)(tan x- csc x) tan x- csc X (tan x+ csc x)(tan x- csc x) tan x + csc X = tan x + cSC X = tan x + cSC X = tan x + csc X
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