Establish the identity. 1 1 = 2 sec20 1- sin 0 1 + sin 0

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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Which of the following statements establishes the identity?
O A.
1
1
1- sin 0
1+ sin 0
= 2 sec 20
1- cos 20
sin 20
OB.
1
1
2
2
= 2 sec 20
csc 0
1- sin 0
1+ sin 0
%3D
1- cos 0
1+ sin 20
OC.
1
1+ sin 0+1- sin 0
1
2
1- sin 0
%3D
1+ sin 0
= 2 sec 20
%3D
(1- sin 0)(1 + sin 0)
1 sin 20
Csc 0
O D.
1
1
1+ sin 0 + 1- sin 0
2
2
= 2 sec 20
Cos 20
+
%3D
1- sin 0
1+ sin 0
(1- sin 0)(1 + sin 0)
1- sin 20
Transcribed Image Text:O A. 1 1 1- sin 0 1+ sin 0 = 2 sec 20 1- cos 20 sin 20 OB. 1 1 2 2 = 2 sec 20 csc 0 1- sin 0 1+ sin 0 %3D 1- cos 0 1+ sin 20 OC. 1 1+ sin 0+1- sin 0 1 2 1- sin 0 %3D 1+ sin 0 = 2 sec 20 %3D (1- sin 0)(1 + sin 0) 1 sin 20 Csc 0 O D. 1 1 1+ sin 0 + 1- sin 0 2 2 = 2 sec 20 Cos 20 + %3D 1- sin 0 1+ sin 0 (1- sin 0)(1 + sin 0) 1- sin 20
Establish the identity.
1
1
= 2 sec20
1- sin 0
1+ sin 0
Transcribed Image Text:Establish the identity. 1 1 = 2 sec20 1- sin 0 1+ sin 0
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