Find the Exact Values of the Six Trigonometric Functions of the Angle

question 98

Multiple Choice

Find the exact values of the six trigonometric functions of the angle $\theta$ for each of the two triangles.

• A)sin \(\theta\) = \(\frac { 15 } { 8 }\) csc \(\theta\) = \(\frac { 8 } { 17 }\) cos \(\theta\) = \(\frac { 17 } { 15 }\) sec \(\theta\) = \(\frac { 8 } { 15 }\) tan \(\theta\) = \(\frac { 17 } { 8 }\) cot \(\theta\)= \(\frac { 15 } { 17 }\)
• B)sin \(\theta\) = \(\frac { 17 } { 15 }\) csc \(\theta\) = \(\frac { 17 } { 8 }\) cos\(\theta\) = \(\frac { 15 } { 8 }\) sec \(\theta\) = \(\frac { 8 } { 17 }\) tan \(\theta\) = \(\frac { 8 } { 15 }\) cot \(\theta\) = \(\frac { 15 } { 17 }\)
• C)sin \(\theta\) = \(\frac { 8 } { 17 }\) csc \(\theta\) = \(\frac { 17 } { 8 }\) cos \(\theta\) = \(\frac { 15 } { 17 }\) sec \(\theta\) = \(\frac { 17 } { 15 }\) tan\(\theta\)= \(\frac { 8 } { 15 }\) cot \(\theta\) = \(\frac { 15 } { 8 }\)
• D)sin \(\theta\)= \(\frac { 15 } { 8 }\) csc \(\theta\) = \(\frac { 8 } { 15 }\) cos \(\theta\)= \(\frac { 17 } { 15 }\) sec \(\theta\)= \(\frac { 15 } { 17 }\) tan \(\theta\) = \(\frac { 17 } { 8 }\) cot \(\theta\) = \(\frac { 8 } { 17 }\)
• E)sin \(\theta\) = \(\frac { 15 } { 17 }\) csc\(\theta\) = \(\frac { 8 } { 15 }\) cos \(\theta\) = \(\frac { 8 } { 17 }\) sec \(\theta\)= \(\frac { 15 } { 8 }\) tan \(\theta\) = \(\frac { 17 } { 8 }\) cot \(\theta\) = \(\frac { 17 } { 15 }\)

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