If $0 < x , y < \pi$ and $\cos x +\cos y-\cos ( x + y )=\frac{3}{2},$ then $\sin x+\cos y$ is equal to ...... .
$\frac{1}{2}$
$\frac{1+\sqrt{3}}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{1-\sqrt{3}}{2}$
$1 + \cos 2x + \cos 4x + \cos 6x = $
$\sqrt 2 + \sqrt 3 + \sqrt 4 + \sqrt 6 $ is equal to
The value of $\frac{{3 + \cot \,7\,{6^ \circ }\,\cot \,{{16}^ \circ }}}{{\cot \,{{76}^ \circ } + \cot \,{{16}^ \circ }}}$ is :
If $A + B + C = {180^o},$ then the value of $(\cot B + \cot C)$ $(\cot C + \cot A)\,\,(\cot A + \cot B)$ will be
$2\sin A{\cos ^3}A - 2{\sin ^3}A\cos A = $