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(Sin X-cos X)^2=1-sin 2x

(Sin X-cos X)^2=1-sin 2x

Trigonometry (11th Edition)
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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Question
(Sin X-cos X)^2=1-sin 2x
Expert Solution
Step 1

Formulae to note:

(a-b)2=a2+b2-2ab.

2 sin x cos x=sin2x.

Sin2x+Cos2x=1.

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