(Solved): Find the exact values of the six trigonometric functions of the angle \( \theta \) for each of the ...

Find the exact values of the six trigonometric functions of the angle \( \theta \) for each of the two triangles. \begin{tabular}{|rr} Smaller triangle & Larger triangle \\ \( \sin \theta= \) & \( \sin \theta= \) \\ \( \cos \theta= \) & \( \cos \theta= \) \\ \( \tan \theta= \) & \( \tan \theta= \) \\ \( \csc \theta= \) & \( \csc \theta= \) \\ \( \sec \theta= \) & \( \sec \theta= \) \\ \( \cot \theta= \) & \( \cot \theta= \) \end{tabular} Expiain why the function values are the same. The triangles are congruent so the trigonometric function values must be the same. The triangles are similar so corresponding sides are proportional.