\( 0,5 \sin ^ { 2 } 6 x - \sin ^ { 2 } ( \frac { 3 \pi } { 2 } - 3 x ) = 0 \)

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

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

4 Multiple Choice 1 point Select the best option that simplify the expression \( \sin x \sec x \cot x \). -1 \( \cot x \)

3 True or False 1 point Verify thatsin \( 2 A-\tan A=\tan A \cos 2 A \) is an identity. (1) True (D) False

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 \( \cos \theta=-\frac{\sqrt{5}}{5}, \sin \theta>0 \). \( \frac{3}{5} \)