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Q30.

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Precalculus Mathematics for Calculus

Found in: Page 488

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
$s i n 30^{°} c s c 30^{°}$

The answer of the expression is 1

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

A trigonometric expression is given as $\sin 30^{°} \csc 30^{°}$ .

Step 2. Concept used

Use trigonometric ratios to simplify the equation. Replace the values of the ratios in the expression and do the computation.

Step 3. Calculation

The given expression is $\sin 30^{°} \csc 30^{°}$ , substitute the values as-

$\begin{array}{l} ∵ \csc θ = \frac{1}{\sin θ} \\ = \sin 30^{°} \times \frac{1}{\sin 30^{°}} \\ = 1 \end{array}$

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