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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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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
Transcribed Image Text: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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