Number of principal solution of the equation $tan \,3x - tan \,2x - tan\, x = 0$, is
$3$
$5$
$7$
more than $7$
The only value of $x$ for which ${2^{\sin x}} + {2^{\cos x}} > {2^{1 - (1/\sqrt 2 )}}$ holds, is
One root of the equation $\cos x - x + \frac{1}{2} = 0$ lies in the interval
If the equation $tan^4x -2sec^2x + [a]^2 = 0$ has atleast one solution, then the complete range of $'a'$ (where $a \in R$ ) is
(Note : $[k]$ denotes greatest integer less than or equal to $k$ )
If $r\,\sin \theta = 3,r = 4(1 + \sin \theta ),\,\,0 \le \theta \le 2\pi ,$ then $\theta = $
Find the general solution of the equation $\cos 3 x+\cos x-\cos 2 x=0$