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Expert-verified Found in: Page 488 ### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508 # Evaluating an ExpressionEvaluate the expression without using a calculator$\mathbit{s}\mathbit{i}\mathbit{n}{\mathbf{30}}^{\mathbf{°}}\mathbit{c}\mathbit{s}\mathbit{c}{\mathbf{30}}^{\mathbf{°}}$

The answer of the expression is 1

See the step by step solution

## Step 1. Given information

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

## 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 $\mathrm{sin}{30}^{°}\mathrm{csc}{30}^{°}$, substitute the values as-

$\begin{array}{l}\because \mathrm{csc}\theta =\frac{1}{\mathrm{sin}\theta }\\ =\mathrm{sin}{30}^{°}×\frac{1}{\mathrm{sin}{30}^{°}}\\ =1\end{array}$ ### Want to see more solutions like these? 