Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.3 Evaluate Trigonometric Functions of Any Angle - 13.3 Exercises - Skill Practice - Page 871: 15

Answer

$\sin 270^{\circ}=-1$ $\cos 270^{\circ}=0$ $\tan 270^{\circ}= \infty$ or undefined $\csc 270^{\circ}=-1$ $\sec 270^{\circ}=\infty$ or undefined $\cot 270^{\circ}=0$

Work Step by Step

Here, we have $\theta=\dfrac{7\pi}{2} $ and $\dfrac{7\pi}{2} \times \dfrac{180}{\pi}=630^{\circ}$ and $\theta =630^{\circ}-360^{\circ}=270^{\circ}$ The Trigonometric Identities can be defined as: $\sin 270^{\circ}=-1$ $\cos 270^{\circ}=0$ $\tan 270^{\circ}= \infty$ or undefined $\csc 270^{\circ}=-1$ $\sec 270^{\circ}=\infty$ or undefined $\cot 270^{\circ}=0$
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