Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 210: 101a


Write $I$ in terms of the sine function: $$I=k-k\sin^2\theta$$

Work Step by Step

$$I=k\cos^2\theta$$ The exercise asks to write $I$ in terms of the sine function. This can be done by changing $\cos\theta$ into $\sin\theta$. Using Pythagorean Identity: $$\cos^2\theta=1-\sin^2\theta$$ we can rewrite $I$ as follows: $$I=k(1-\sin^2\theta)$$ $$I=k-k\sin^2\theta$$
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