If $\theta $ and $\phi $ are angles in the $1^{st}$ quadrant such that $\tan \theta = 1/7$ and $\sin \phi = 1/\sqrt {10} $.Then
$\theta + 2\phi = 90^\circ $
$\theta + 2\phi = 60^\circ $
$\theta + 2\phi = 30^\circ $
$\theta + 2\phi = 45^\circ $
The value of $\cos A - \sin A$ when $A = \frac{{5\pi }}{4},$ is
If $\cos (\alpha - \beta ) = 1$ and $\cos (\alpha + \beta ) = \frac{1}{e}$, $ - \pi < \alpha ,\beta < \pi $, then total number of ordered pair of $(\alpha ,\beta )$ is
The value of $\tan ( - 945^\circ )$ is
Find the value of $\cos \left(-1710^{\circ}\right)$.
If $A = 130^\circ $ and $x = \sin A + \cos A,$ then