Verify the identity. cos (a - B) cos (a + ß) = cos 2ß - sin 2a %3D Write the left side of the identity using the sum and difference formula. (Type the terms of your expression in the same order as they appear in the original expression.) Use the distributive property to simplify the expression from the previous step. O (Simplify your answer.) Substitute 1- cos B for sin ß in the expression from the previous step and distribute. Regroup and factor the expression from the previous step. Do not apply any trigonometric identities yet. The expression from the previous step then simplifies to cos 2B - sin2a using what? A. Cancellation Property B. Pythagorean Identity C. Even-Odd Identity D. Quotient ldentity O E. Reciprocal Identity

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Verify the identity.
cos (a - B) cos (a + B) = cos B - sin 2a
Write the left side of the identity using the sum and difference formula.
(Type the terms of your expression in the same order as they appear in the original expression.)
Use the distributive property to simplify the expression from the previous step.
(Simplify your answer.)
Substitute 1- cos B for sin ß in the expression from the previous step and distribute.
Regroup and factor the expression from the previous step. Do not apply any trigonometric identities yet.
The expression from the previous step then simplifies to cos B- sina using what?
A. Cancellation Property
B. Pythagorean Identity
C. Even-Odd Identity
D. Quotient ldentity
E. Reciprocal Identity
Transcribed Image Text:Verify the identity. cos (a - B) cos (a + B) = cos B - sin 2a Write the left side of the identity using the sum and difference formula. (Type the terms of your expression in the same order as they appear in the original expression.) Use the distributive property to simplify the expression from the previous step. (Simplify your answer.) Substitute 1- cos B for sin ß in the expression from the previous step and distribute. Regroup and factor the expression from the previous step. Do not apply any trigonometric identities yet. The expression from the previous step then simplifies to cos B- sina using what? A. Cancellation Property B. Pythagorean Identity C. Even-Odd Identity D. Quotient ldentity E. Reciprocal Identity
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