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Trigonometry
Question

Find the exact values of the six trigonometric rat...Find the exact values of the six trigonometric ratios of the angle \( \theta \) in the triangle. \(\sin ( \theta ) = \) 

\( \cos ( \theta ) = \) 

\( \tan ( \theta ) = \) 

\( \csc ( \theta ) = \) 

\( \sec ( \theta ) = \) 

Answer

\(sin(\theta)= \frac{5}{\sqrt{89}}\\cos(\theta)= \frac{8}{\sqrt{89}}\\tan(\theta)= \frac{5}{8}\\csc(\theta)= \frac{\sqrt{89}}{5}\\sec(\theta)= \frac{\sqrt{89}}{8}\\cos(\theta)= \frac{8}{5}\)

Solution
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