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

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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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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