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 870: 4


$\sin \theta=\dfrac{12}{15}$ $\cos \theta=\dfrac{-9}{15}$ $\tan \theta=\dfrac{-12}{9}$ $\csc \theta=\dfrac{15}{12}$ $\sec \theta=\dfrac{-15}{9}$ $\cot \theta=\dfrac{-9}{12}$

Work Step by Step

$r=\sqrt {(-9)^2+(12)^2}=15$ The Trigonometric Identities can be defined as: $\sin \theta=\dfrac{Opposite}{Hypotenuse}=\dfrac{12}{15}$ $\cos \theta=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-9}{15}$ $\tan \theta=\dfrac{Opposite}{Adjacent}=\dfrac{-12}{9}$ $\csc \theta=\dfrac{Hypotenuse}{Opposite}=\dfrac{15}{12}$ $\sec \theta=\dfrac{Hypotenuse}{Adjacent}=\dfrac{-15}{9}$ $\cot \theta=\dfrac{Adjacent}{Opposite}=\dfrac{-9}{12}$
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