Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.5 - Trigonometric Equations - Exercise Set - Page 705: 152

Answer

The statement does not make sense.

Work Step by Step

On the left side, the degree of the trigonometric function is $2$, whereas on the right side, the degree of the function is $1$. We use the Pythagoras trigonometric identities: $\begin{align} & {{\sin }^{2}}x+{{\cos }^{2}}x=1 \\ & 1+{{\tan }^{2}}x={{\sec }^{2}}x \\ & 1+{{\cot }^{2}}x={{\csc }^{2}}x \end{align}$ Thus, there is no provision of changing the degree of the trigonometric function from $2$ to $1$. Therefore, the statement does not make sense.
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