Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.2 Trigonometric Equations I - 6.2 Exercises - Page 266: 8

Answer

1) Given equation is quadratic. 2) Two trigonometric functions i.e. $\sin x$ and $\cos x$ are present. 3) Using Pythagorean identity equation may be converted to a simple quadratic in single trigonometric function and solved easily.

Work Step by Step

Given equation is- $\cos^{2} x $ = $ \sin^{2} x$ + $1$ Steps to be taken- 1) Given equation is quadratic. 2) Two trigonometric functions i.e. $\sin x$ and $\cos x$ are present. 3) Using Pythagorean identity equation may be converted to a simple quadratic in single trigonometric function and solved easily.
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