${\sin ^6}\theta + {\cos ^6}\theta + 3{\sin ^2}\theta {\cos ^2}\theta = $
$0$
$-1$
$1$
None of these
Find the radian measures corresponding to the following degree measures:
$-47^{\circ} 30^{\prime}$
Which of the following relations is correct
If $\sin \theta = \frac{{ - 4}}{5}$ and $\theta $ lies in the third quadrant, then $\cos \frac{\theta }{2} = $
If $\tan x=\frac{3}{4}, \pi < x < \frac{3 \pi}{2},$ find the value of $\sin \frac{x}{2}, \cos \frac{x}{2}$ and $\tan \frac{x}{2}$
Find the value of the trigonometric function $\tan \frac{19 \pi}{3}$.