$1 - 2{\sin ^2}\left( {\frac{\pi }{4} + \theta } \right) = $
$\cos 2\theta $
$ - \cos 2\theta $
$\sin 2\theta $
$ - \sin 2\theta $
If $a{\sin ^2}x + b{\cos ^2}x = c,\,\,$$b\,{\sin ^2}y + a\,{\cos ^2}y = d$ and $a\,\tan x = b\,\tan y,$ then $\frac{{{a^2}}}{{{b^2}}}$ is equal to
The value of $cot\, x + cot\, (60^o + x) + cot\, (120^o + x)$ is equal to :
The value of $\frac{{\tan {{70}^o} - \tan {{20}^o}}}{{\tan {{50}^o}}} = $
If $\sin A = n\sin B,$ then $\frac{{n - 1}}{{n + 1}}\tan \,\frac{{A + B}}{2} = $
The value of the expression $(sinx + cosecx)^2 + (cosx + secx)^2 - ( tanx + cotx)^2$ wherever defined is equal to