Verify the following identities: sin2 x = [ 2cos 2 (x/2) ] [ 1 – cos x ] = sin 2 x sin2 (x/2) = (sin x tan x/2 )/ 2 = sin 2 (x/2) Cos 2θ = 2 cos 2 θ – 1
Verify the following identities: sin2 x = [ 2cos 2 (x/2) ] [ 1 – cos x ] = sin 2 x sin2 (x/2) = (sin x tan x/2 )/ 2 = sin 2 (x/2) Cos 2θ = 2 cos 2 θ – 1
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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Verify the following identities:
- sin2 x = [ 2cos 2 (x/2) ] [ 1 – cos x ] = sin 2 x
- sin2 (x/2) = (sin x tan x/2 )/ 2 = sin 2 (x/2)
- Cos 2θ = 2 cos 2 θ – 1
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