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Precalculus Mathematics for Calculus
Found in: Page 487
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

Trigonometric Ratios

Sketch a triangle that has acute angle θ, and find the other five trigonometric ratios of θ


The required triangle is

The other ratios are-


See the step by step solution

Step by Step Solution

Step 1. Given information

A trigonometric ratio is given as cosθ=1213.

Step 2. Concept used

First find the unknown side of triangle. And then sketch the triangle by using the following trigonometric ratios-




Step 3. Calculation

The triangle by using trigonometric ratio is-

Hypotenuse is given as 13 and base is 12. Now use Pythagoras theorem for finding the third side.



Now we know all three sides. And the other five ratios are-


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