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Trigonometry
Question

Evaluating Trigonometric Functions In Exercises \(...

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. 

Answer

\(\sin ( \theta ) = \frac { 8 } { 17 } \) 

\( \cos ( \theta ) = \frac { 15 } { 17 } \) 

\( \tan ( \theta ) = \frac { 8 } { 15 } \) 

\( \cot ( \theta ) = \frac { 15 } { 8 } \) 

\( \sec ( \theta ) = \frac { 17 } { 15 } \) 

\( \csc ( \theta ) = \frac { 17 } { 8 }\) \(\sin ( \theta ) = 0.47058823 \) 

\( \cos ( \theta ) = 0.88235294 \) 

\( \tan ( \theta ) = 0.5 \overline { 3 } \) 

\( \cot ( \theta ) = 1.875 \) 

\( \sec ( \theta ) = 1.1 \overline { 3 } \) 

\( \csc ( \theta ) = 2.125\) 

Solution
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