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

question 52

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 ? = \(\frac { 5 } { 3 }\) csc ? = \[\frac { 3 } { 5 }\] Cos ? = \(\frac { 5 } { 4 }\) Sec ? = \(\frac { 4 } { 5 }\) Tan ? = \(\frac { 4 } { 3 }\) Cot ? = \(\frac { 3 } { 4 }\) ?
• B)sin ? = \(\frac { 4 } { 3 }\) ? csc ? = \(\frac { 3 } { 4 }\) ? Cos ? = \(\frac { 5 } { 4 }\) ? Sec ? = \(\frac { 4 } { 5 }\) ? Tan ? = \(\frac { 5 } { 3 }\) ? Cot ? = \(\frac { 3 } { 5 }\) ? ?
• C)sin ? = \(\frac { 4 } { 5 }\) ? csc ? = \(\frac { 3 } { 4 }\) ? Cos ? = \(\frac { 3 } { 5 }\) Sec ? = \(\frac { 4 } { 3 }\) Tan ? = \(\frac { 5 } { 3 }\) Cot ? = \(\frac { 5 } { 4 }\) ?
• D)sin ? = \(\frac { 3 } { 5 }\) csc ? = \(\frac { 5 } { 3 }\) Cos ? = \(\frac { 4 } { 5 }\) Sec ? = \(\frac { 5 } { 4 }\) Tan ? = \(\frac { 3 } { 4 }\) Cot ? = \(\frac { 4 } { 3 }\) ?
• E)sin ? = \(\frac { 4 } { 3 }\) csc ? = \(\frac { 5 } { 3 }\) Cos ? = \(\frac { 5 } { 4 }\) Sec ? = \(\frac { 3 } { 5 }\) Tan ? = \(\frac { 3 } { 4 }\) Cot ? = \(\frac { 4 } { 5 }\) ?

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