Establish the identity sin A. sin OB. sin Which of the following four statements establishes the identity? OC. sin T 2 (12-0) O D. sin N H|N T 6 2 1 --0 (12-0) = sin = sin = sin EN T = sin NE EN = cos 0. JU ... TU cos - cos sin 0=(1) cos 0 - (0) sin 0= cos 0 2 cos + cos sin 0 + cos T sin 0 = (1) cos 0 + (0) sin() = cos T sin 8- cos cos 0 = (0) sin 0- (1) cos 0 = cos 0 T cos (1) cos 0 + (0) sin 0 = cos 0 = 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 44E
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Establish the identity sin
O A. sin
Which of the following four statements establishes the identity?
◇ B. sin
OC. sin
O D. sin
E|N
N
E|N
-0 = sin
-9) ¹2
T
|N
EN
-0 = sin
-0)
JU
(12-
0 = sin cos + cos sin 0=(1) cos 0 + (0) sin 0 = cos
元
-0 = sin sin 0 - cos
-
-
2
= cos 0.
JU
cos - cos
-
2
EN
2
T
-
H|N
2
EN
sin = (1) cos 0- (0) sin = cos 0
sin 0+ cos2
cos 0 = (0) sin 0 - (1) cos 0 = cos 0
cos 0 =(1) cos 0 + (0) sin = cos 0
Transcribed Image Text:Establish the identity sin O A. sin Which of the following four statements establishes the identity? ◇ B. sin OC. sin O D. sin E|N N E|N -0 = sin -9) ¹2 T |N EN -0 = sin -0) JU (12- 0 = sin cos + cos sin 0=(1) cos 0 + (0) sin 0 = cos 元 -0 = sin sin 0 - cos - - 2 = cos 0. JU cos - cos - 2 EN 2 T - H|N 2 EN sin = (1) cos 0- (0) sin = cos 0 sin 0+ cos2 cos 0 = (0) sin 0 - (1) cos 0 = cos 0 cos 0 =(1) cos 0 + (0) sin = cos 0
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