\( \sin ( 2 x + \frac { \pi } { 6 } ) = \cos x + \cos ( x + \frac { \pi } { 6 } ) \sin x \)

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 hypotenuse. \( \begin{array}{l}\begin{array}{c}12 \\ 12\end{array}, b=6 \\ \mathrm{a}=2.5, \mathrm{c}=6.5\end{array} \)

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

6 True or False 1 point Verify if \( \sin \left(\frac{3 \pi}{2}+x\right)=\cos x \) is an identity True False

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