The smallest positive root of the equation $tanx\, -\, x = 0$ lies on
$\left( {0,\frac{\pi }{2}} \right)$
$\left( {\frac{\pi }{2},\pi } \right)$
$\left( {\pi,\frac{3\pi }{2}} \right)$
$\left( {\frac{3\pi }{2},2\pi } \right)$
If $4{\sin ^4}x + {\cos ^4}x = 1,$ then $x =$
Find the value of $\tan \frac{\pi}{8}$
If $3({\sec ^2}\theta + {\tan ^2}\theta ) = 5$, then the general value of $\theta $ is
Number of principal solution of the equation $tan \,3x - tan \,2x - tan\, x = 0$, is
If $\cot (\alpha + \beta ) = 0,$ then $\sin (\alpha + 2\beta ) = $