Answered: Decide whether the following statement…

Decide whether the following statement is true or false. If f(x) = sin x and g(x) = cos x, then g(a+ B) = g(æ)g(B) – f(æ)f(ß). %3D Choose the correct answer below. O True O False

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 1CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

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Question

Decide whether the following statement is true or false.
If f(x)= sin x and g(x)= cos x, then g(a+ B) = g(æ)g(B) – f(æ)f(ß).
%3D
%3D
Choose the correct answer below.
True
O False
OO

Expert Solution

Step 1

Given that,

f(x) = sinx

g(x) = cosx

We have to find that,

g( $α$ + $β$ ) = g( $α$ )g( $β$ ) - f( $α$ )f( $β$ ) is true or false.

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