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Q 95.

Precalculus Mathematics for Calculus
Found in: Page 544
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Determining Identities Graphically

Graph f and g in the same viewing rectangle. Do the graphs suggest that the equation f(x)=g(x) is an identity? Prove your answer

f(x)=cos2xsin2x,   g(x)=12sin2x

The expression f(x)=g(x) is an identity.

See the step by step solution

Step by Step Solution

Step 1. Given information

Two functions as-


Step 2. Concept used

Create distinct graphs for both functions on the same graph. Both functions are equivalent if both graphs coincide with one other. As a result, combining them into a single equation yields an identity.

Step 3. Calculation

Now, draw graphs of both functions:

Since both graphs coincide each other. Therefore f(x)=g(x) is an identity

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