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

question 14

Multiple Choice

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

• A)sin ? = \(\frac { 15 } { 8 }\) csc ? = \(\frac { 8 } { 15 }\) Cos ? = \(\frac { 17 } { 15 }\) Sec ? = \(\frac { 15 } { 17 }\) Tan ? = \(\frac { 17 } { 8 }\) Cot ? = \(\frac { 8 } { 17 }\) ?
• B)sin ? = \(\frac { 17 } { 8 }\) csc ? = \(\frac { 8 } { 17 }\) Cos ? = \(\frac { 17 } { 15 }\) Sec ? = \(\frac { 15 } { 17 }\) Tan ? = \(\frac { 15 } { 8 }\) Cot ? = \(\frac { 8 } { 15 }\) ?
• C)sin ? = \(\frac { 8 } { 17 }\) csc ? = \(\frac { 17 } { 8 }\) Cos ? = \(\frac { 15 } { 17 }\) Sec ? = \(\frac { 17 } { 15 }\) Tan ? = \(\frac { 8 } { 15 }\) Cot ? = \(\frac { 15 } { 8 }\) ?
• D)sin ? = \(\frac { 17 } { 15 }\) csc ? = \(\frac { 17 } { 8 }\) Cos ? = \(\frac { 15 } { 8 }\) Sec ? = \(\frac { 8 } { 17 }\) Tan ? = \(\frac { 8 } { 15 }\) Cot ? = \(\frac { 15 } { 17 }\) ?
• E)sin ? = \(\frac { 15 } { 17 }\) csc ? = \(\frac { 8 } { 15 }\) Cos ? = \(\frac { 8 } { 17 }\) Sec ? = \(\frac { 15 } { 8 }\) Tan ? = \(\frac { 17 } { 8 }\) Cot ? = \(\frac { 17 } { 15 }\) ?

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