Which of the following statements establishes the identity? O A.111- sin 01+ sin 0= 2 sec 201- cos 20sin 20OB.1122= 2 sec 20csc 01- sin 01+ sin 0%3D1- cos 01+ sin 20OC.11+ sin 0+1- sin 0121- sin 0%3D1+ sin 0= 2 sec 20%3D(1- sin 0)(1 + sin 0)1 sin 20Csc 0O D.111+ sin 0 + 1- sin 022= 2 sec 20Cos 20+%3D1- sin 01+ sin 0(1- sin 0)(1 + sin 0)1- sin 20 Establish the identity.11= 2 sec201- sin 01+ sin 0

Given query is to find the correct statement.

Answered: Establish the identity. 1 1 = 2 sec20…

Math

Trigonometry

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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Question

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

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

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