જો $sin t + cos t = \frac{1}{5}$ હોય તો $tan \frac{t}{2}$ =

જો $\tan x = \frac{b}{a},$ તો $\sqrt {\frac{{a + b}}{{a - b}}} + \sqrt {\frac{{a - b}}{{a + b}}} = $

જો $\sin A = n\sin B,$ તો $\frac{{n - 1}}{{n + 1}}\tan \,\frac{{A + B}}{2} = $

જો $\tan x + \tan \left( {\frac{\pi }{3} + x} \right) + \tan \left( {\frac{{2\pi }}{3} + x} \right) = 3,$ તો

 $(sinx + cosecx)^2 + (cosx + secx)^2 - ( tanx + cotx)^2$ =

$\cos \alpha .\sin (\beta - \gamma ) + \cos \beta .\sin (\gamma - \alpha ) + \cos \gamma .\sin (\alpha - \beta ) = $