Establish the identity. csc ²0 (1- cos ²0) = 1 Which of the following shows the key steps in establishing the identity? OA. 1 csc ²0 (1- cos 20) = sec ²0-- sin 20 csc 20- cot²0=1 os ²0 cos B. csc 20 (1- cos 20) = csc 20-csc ²0 cos 20= csc²0- cot²0=1 OC. O D. 1 csc 20 (1- cos 20) = csc 20 cot20= csc 20- tan 20 1 cos 20 csc 20 (1- cos 20) = csc 20 sin 20= csc ²0- sin 20 sin 20 sin 20 sin 20 = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 16RE
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Establish the identity.
csc 20 (1- cos 20) = = 1
Which of the following shows the key steps in establishing the identity?
1
cos 20
OB. csc ²0 (1- cos 20) = csc ²0- csc ²0 cos ²0= csc ²0- cot²0=1
O C.
O A.
O D.
csc 20 (1- cos 20) = :
=
sec ²0-
csc 20 (1- cos 20) =
-sin ²0= csc ²0- cot ²0 = 1
1
tan 20
csc 20 (1- cos 20) = csc 20 cot20= csc 20-
sin 20
sin ²0
1
sin 20
=
cos 20 sin 20
= csc 20 sin 20= csc ²0-
= 1
= 1
Transcribed Image Text:Establish the identity. csc 20 (1- cos 20) = = 1 Which of the following shows the key steps in establishing the identity? 1 cos 20 OB. csc ²0 (1- cos 20) = csc ²0- csc ²0 cos ²0= csc ²0- cot²0=1 O C. O A. O D. csc 20 (1- cos 20) = : = sec ²0- csc 20 (1- cos 20) = -sin ²0= csc ²0- cot ²0 = 1 1 tan 20 csc 20 (1- cos 20) = csc 20 cot20= csc 20- sin 20 sin ²0 1 sin 20 = cos 20 sin 20 = csc 20 sin 20= csc ²0- = 1 = 1
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