If $cosx + secx =\, -2$, then for a $+ve$ integer $n$, $cos^n x + sec^n x$ is
always $2$
always $-2$
$-2$ if $n$ is odd and $2$ if $n$ is even
$-2$ if $n$ is even and $2$ if $n$ is odd
The general value of $\theta $ satisfying ${\sin ^2}\theta + \sin \theta = 2$ is
Solve $\cos x=\frac{1}{2}$
The general value $\theta $ is obtained from the equation $\cos 2\theta = \sin \alpha ,$ is
If $\cos ec\,\theta = \frac{{p + q}}{{p - q}}$ $\left( {p \ne q \ne 0} \right)$, then $\left| {\cot \left( {\frac{\pi }{4} + \frac{\theta }{2}} \right)} \right|$ is equal to
The general solution of $\sin x - \cos x = \sqrt 2 $, for any integer $n$ is