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

question 320

Multiple Choice

Find the exact values of the six trigonometric functions of the angle $\theta$ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)

• A)sin \(\theta\) = \(\frac { 85 } { 13 }\) csc\(\theta\) = \(\frac { 13 } { 85 }\) cos \(\theta\) = \(\frac { 85 } { 84 }\) sec \(\theta\) = \(\frac { 84 } { 85 }\) tan \(\theta\) = \(\frac { 84 } { 13 }\) cot \(\theta\) = \(\frac { 13 } { 84 }\)
• B)sin \(\theta\) = \(\frac { 84 } { 13 }\) csc \(\theta\) = \(\frac { 13 } { 84 }\) cos\(\theta\)= \(\frac { 85 } { 84 }\) sec \(\theta\)= \(\frac { 13 } { 85 }\) tan \(\theta\) = \(\frac { 85 } { 13 }\) cot\(\theta\) = \(\frac { 84 } { 85 }\)
• C)sin \(\theta\)= \(\frac { 84 } { 85 }\) csc \(\theta\) = \(\frac { 13 } { 84 }\) cos \(\theta\) = \(\frac { 13 } { 85 }\) sec \(\theta\) = \(\frac { 84 } { 13 }\) tan \(\theta\) = \(\frac { 85 } { 13 }\) cot \(\theta\) = \(\frac { 85 } { 84 }\)
• D)sin \(\theta\) = \(\frac { 85 } { 84 }\) csc \(\theta\) = \(\frac { 85 } { 13 }\) cos \(\theta\)= \(\frac { 84 } { 13 }\) sec \(\theta\)= \(\frac { 13 } { 85 }\) tan \(\theta\)= \(\frac { 13 } { 84 }\) cot \(\theta\) = \(\frac { 84 } { 85 }\)
• E)sin \(\theta\) = \(\frac { 13 } { 85 }\) csc \(\theta\) = \(\frac { 85 } { 13 }\) cos \(\theta\) = \(\frac { 84 } { 85 }\) sec \(\theta\) = \(\frac { 85 } { 84 }\) tan \(\theta\)= \(\frac { 13 } { 84 }\) cot \(\theta\) = \(\frac { 84 } { 13 }\)

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