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Q32.

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Precalculus Mathematics for Calculus
Found in: Page 488
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

Evaluating an Expression

Evaluate the expression without using a calculator

(sin60°)2+(cos60°)2

The answer of the expression is 1.

See the step by step solution

Step by Step Solution

Step 1. Given information

A trigonometric expression is given as sin60°2+cos60°2.

Step 2. Concept used

To simplify the problem, use trigonometric ratios. Replace the ratio values in the expression and do the calculation. For more simplification, utilize trigonometric identities.

Step 3. Calculation

The given expression is sin60°2+cos60°2, substitute the values as-

sin60°=32&cos60°=12=322+122=34+14=44=1

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