\( \frac { \sin ^ { 4 } \alpha + \cos ^ { 4 } \alpha } { \sin ^ { 2 } \alpha \times \cos ^ { 2 } \alpha } - ( \tan \alpha + \cot \alpha ) ^ { 2 } \)

Question 1 Find the lengths of the missing sides if side \( a \) is opposite angle A , side b is opposite angle B , and side c is the hypotenus \( \begin{array}{l}A=\frac{5}{12}, b=6\end{array} \)

2. Find the numerical value of the following trigonometric function: \( \tan 73^{\circ} \)

This quiz covers sections 5.1 to 5.3 . The allowable time is 90 minutes. 1 Multiple Choice 1 point Find the exact value of \( \tan 2 \theta \), given that \( \cos \theta=-\frac{\sqrt{5}}{5}, \sin \theta>0 \). \( \frac{3}{5} \)

\begin{tabular}{l}\( \mid 2 \) True or False \( \quad 1 \) point \\ Verify if \( \cos (x-y)-\cos (x+y)=2 \sin x \sin y \) is an identity. \\ True \\ False \\ \hline\end{tabular}

True or False 1 point Verify that \( \frac{1}{1+\sin t}+\frac{1}{1-\sin t}=2 \cos ^{2} t \) is an identity. True False