Algebra 2 (1st Edition)

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

Chapter 13, Trigonometric Ratios and Functions - 13.1 Use Trigonometry with Right Triangles - 13.1 Exercises - Skill Practice - Page 856: 8


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Work Step by Step

The Trigonometric Identities can be defined as: $\sin \theta=\dfrac{Opposite}{Hypotenuse}=\dfrac{2}{2\sqrt 17} =\dfrac{\sqrt 17}{17}$ $\cos \theta=\dfrac{Adjacent}{Hypotenuse}=\dfrac{8}{2\sqrt 17} =\dfrac{4\sqrt 17}{17}$ $\tan \theta=\dfrac{Opposite}{Adjacent}=\dfrac{2}{8}=\dfrac{1}{4}$ $\csc \theta=\dfrac{Hypotenuse}{Opposite}=\dfrac{2\sqrt 17}{2}=\sqrt 17$ $\sec \theta=\dfrac{Hypotenuse}{Adjacent}=\dfrac{2\sqrt 17}{8}=\dfrac{\sqrt 17}{4}$ $\cot \theta=\dfrac{Adjacent}{Opposite}=\dfrac{8}{2}=4$
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