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Right triangles: Given that = sin1 ( ), evaluate cos ,

Chapter 5, Problem 37RE

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QUESTION:

Given that \(\theta=\sin ^{-1}\left(\frac{12}{13}\right)\), evaluate \(\cos \theta\), \(\tan \theta\), \(\cot \theta\), \(\sec \theta\), and \(\csc \theta\).

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QUESTION:

Given that \(\theta=\sin ^{-1}\left(\frac{12}{13}\right)\), evaluate \(\cos \theta\), \(\tan \theta\), \(\cot \theta\), \(\sec \theta\), and \(\csc \theta\).

ANSWER:

Step-by-step solution 37RE Step 1 Given that = sin ( ) , we need to find cos , tan ,cot , sec and 13 csc assuming x > 0 and 0 . 2

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