If $\tan A = \frac{1}{2},$ then $\tan 3A = $
$\frac{9}{2}$
$\frac{{11}}{2}$
$\frac{7}{2}$
$ - \frac{1}{2}$
If $\sin A + \cos A = \sqrt 2 ,$ then ${\cos ^2}A = $
If $\sin \theta+\cos \theta=\frac{1}{2}$, then $16(\sin (2 \theta)+\cos (4 \theta)+\sin (6 \theta))$ is equal to:
The value of $\sum_{r-1}^{18} cos^2(5r)^o,$ where $x^o $ denotes the $x$ degree, is equals to
$\cos \frac{\pi }{7}\cos \frac{{2\pi }}{7}\cos \frac{{3\pi }}{7} =$
$\frac{{\sin 3\theta + \sin 5\theta + \sin 7\theta + \sin 9\theta }}{{\cos 3\theta + \cos 5\theta + \cos 7\theta + \cos 9\theta }} = $