(Solved): URGENT Find the exact values of the six trigonometric functions of the angle \( \theta \) shown in t ...

Find the exact values of the six trigonometric functions of the angle \( \theta \) shown in the figure. Consider the following triangles. Find the exact values of the six trigonometric functions of the angle \( \theta \) for the smaller triangle. \[ \begin{array}{l} \sin (\theta)= \\ \cos (\theta)= \\ \tan (\theta)= \\ \csc (\theta)= \\ \sec (\theta)= \\ \cot (\theta)= \end{array} \] Find the exact values of the six trigonometric functions of the angle \( \theta \) for the larger triangle. \[ \begin{array}{l} \sin (\theta)= \\ \cos (\theta)= \\ \tan (\theta)= \\ \csc (\theta)= \\ \sec (\theta)= \\ \cot (\theta)= \end{array} \] Explain why the function values are the same. The triangles are congruent so the trigonometric function values must be the same. The triangles are similar 50 corresponding sides are proportional. Sketch a right triangle corresponding to the trigonometric function of the acute angle o. Then find the exact values of the other five trigonometric functions of a. \[ \begin{array}{l} \sin (\theta)=\frac{5}{13} \\ \cos (\theta)= \\ \tan (\theta)= \\ \csc (\theta)= \\ \sec (\theta)= \\ \cot (\theta)= \end{array} \] [-/1 Points] LARPCALC11 4.3.022. Sketch a right triangle corresponding to the trigonometric function of the acute angle 0 . Then find the exact values of the other five trigonometric functions of 0 . \[ \begin{array}{l} \csc (\theta)=15 \\ \sin (\theta)= \\ \cos (\theta)= \\ \tan (\theta)= \\ \sec (\theta)= \\ \cot (\theta)= \end{array} \]