If $\alpha ,\,\beta ,\,\gamma $ and $\delta $ are the solutions of the equation $\tan \left( {\theta + \frac{\pi }{4}} \right) = 3\,\tan \,3\theta $ , no two of which have equal tangents, then the value of $tan\, \alpha + tan\, \beta + tan\, \gamma + tan\, \delta $ is
$1$
$-1$
$2$
$0$
The set of values of $x$ for which the expression $\frac{{\tan 3x - \tan 2x}}{{1 + \tan 3x\tan 2x}} = 1$, is
If $\sin \,\theta + \sqrt 3 \cos \,\theta = 6x - {x^2} - 11,x \in R$ , $0 \le \theta \le 2\pi $ , then the equation has solution for
Let $f(x) = \cos \sqrt {x,} $ then which of the following is true
The general solution of the equation $sin^{100}x\,-\,cos^{100} x= 1$ is
The solution of equation ${\cos ^2}\theta + \sin \theta + 1 = 0$ lies in the interval