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Establish the identity. 1-2 sin 20 cos 20-2 sin 40 = cos (20)

Establish the identity. 1-2 sin 20 cos 20-2 sin 40 = cos (20)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 62E
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Establish the identity. 1-2 sin 20 cos 20-2 sin 40 = cos (20) Choose the sequence of steps below that verifies the identity. B. OA. 1-2 sin ²0 cos 20-2 sin 40 = (cos 20+ sin ²0) (1-2 sin ²0) = 1 - cos (20) = cos (20) 1-2 sin ²0 cos ²0-2 sin 40 = (cos 20- sin ²0) (1+2 sin ²0) = = 1. cos (20) = cos (20) 1-2 sin ²0 cos 20-2 sin 40 = (cos ²0-sin ²0) (1-2 sin ²0) = 1. cos (20) = cos (20) O D. 1-2 sin ²0 cos 20-2 sin 40 = (cos ²0+ 1) (sin ²0-2 sin 20) = 1 cos (20) = cos (20) O C.
Transcribed Image Text:Establish the identity. 1-2 sin 20 cos 20-2 sin 40 = cos (20) Choose the sequence of steps below that verifies the identity. B. OA. 1-2 sin ²0 cos 20-2 sin 40 = (cos 20+ sin ²0) (1-2 sin ²0) = 1 - cos (20) = cos (20) 1-2 sin ²0 cos ²0-2 sin 40 = (cos 20- sin ²0) (1+2 sin ²0) = = 1. cos (20) = cos (20) 1-2 sin ²0 cos 20-2 sin 40 = (cos ²0-sin ²0) (1-2 sin ²0) = 1. cos (20) = cos (20) O D. 1-2 sin ²0 cos 20-2 sin 40 = (cos ²0+ 1) (sin ²0-2 sin 20) = 1 cos (20) = cos (20) O C.
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