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

question 23

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 ? = \[\frac { 85 } { 13 }\] csc ? = \(\frac { 13 } { 85 }\) Cos ? = \(\frac { 85 } { 84 }\) Sec ? = \(\frac { 84 } { 85 }\) Tan ? = \(\frac { 84 } { 13 }\) Cot ? = \(\frac { 13 } { 84 }\) ?
• B)sin ? = \(\frac { 84 } { 13 }\) csc ? = \(\frac { 13 } { 84 }\) Cos ? = \(\frac { 85 } { 84 }\) Sec ? = \(\frac { 13 } { 85 }\) Tan ? = \(\frac { 85 } { 13 }\) Cot ? = \(\frac { 84 } { 85 }\) ?
• C)sin ? = \(\frac { 84 } { 85 }\) csc ? = \(\frac { 13 } { 84 }\) Cos ? = \(\frac { 13 } { 85 }\) Sec ? = \(\frac { 84 } { 13 }\) Tan ? = \(\frac { 85 } { 13 }\) Cot ? = \(\frac { 85 } { 84 }\) ?
• D)sin ? = \(\frac { 85 } { 84 }\) csc ? = \[\frac { 85 } { 13 }\] Cos ? = \[\frac { 84 } { 13 }\] Sec ? = \(\frac { 13 } { 85 }\) Tan ? = \(\frac { 13 } { 84 }\) Cot ? = \(\frac { 84 } { 85 }\) ?
• E)sin ? = \(\frac { 13 } { 85 }\) csc ? = \(\frac { 85 } { 13 }\) Cos ? = \(\frac { 84 } { 85 }\) Sec ? = \(\frac { 85 } { 84 }\) Tan ? = \(\frac { 13 } { 84 }\) Cot ? = \(\frac { 84 } { 13 }\) ?