Evaluating Trigonometric Functions In Exercises
\(1 1 - 1 4\) , find the exact values of the six trigonometric functions of the angle \(\theta\) for each of the two triangles. Explain why the function values are the same.
Question
Answer
\(\sin ( \theta ) = \frac { 8 } { 17 } \)
\( \cos ( \theta ) = \frac { 15 } { 17 } \)
\( \tan ( \theta ) = \frac { 8 } { 15 } \)
\( \cot ( \theta ) = \frac { 15 } { 8 } \)
\( \sec ( \theta ) = \frac { 17 } { 15 } \)
\( \csc ( \theta ) = \frac { 17 } { 8 }\) \(\sin ( \theta ) = 0.47058823 \)
\( \cos ( \theta ) = 0.88235294 \)
\( \tan ( \theta ) = 0.5 \overline { 3 } \)
\( \cot ( \theta ) = 1.875 \)
\( \sec ( \theta ) = 1.1 \overline { 3 } \)
\( \csc ( \theta ) = 2.125\)
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