Verity the identity. sin(x + y)cos(x – y) = sin x cos x + sin y cos y Working with the left-hand side, use a Product-to-Sum Identity, and then simplify. LHS - sin(x + y)cos(x – y) -글 (sin(x + y +x-y) + Use the Double-Angle Identities as needed, and then simplify. L내S-글 (2(sin x)( (cos sin x cos x +

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 66E
Question

Please help me fill out the boxes q.15

Verity the identity.
sin(x + y)cos(x – y) = sin x cos x + sin y cos y
Working with the left-hand side, use a Product-to-Sum Identity, and then simplify.
LHS - sin(x + y)cos(x – y)
-글 (sin(x + y +x-y) +
Use the Double-Angle Identities as needed, and then simplify.
L내S-글 (2(sin x)(
(cos
sin x cos x +
Transcribed Image Text:Verity the identity. sin(x + y)cos(x – y) = sin x cos x + sin y cos y Working with the left-hand side, use a Product-to-Sum Identity, and then simplify. LHS - sin(x + y)cos(x – y) -글 (sin(x + y +x-y) + Use the Double-Angle Identities as needed, and then simplify. L내S-글 (2(sin x)( (cos sin x cos x +
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