The number of solutions of the equation $\sin x=$ $\cos ^{2} x$ in the interval $(0,10)$ is
$2$
$4$
$6$
$8$
$\sin ^{2} x+\sin x-1=0$
$\sin x=\frac{-1+\sqrt{5}}{2}=+v e$
Only $4$ roots
No. of solution of equation $sin^{65}x\, -\, cos^{65}x =\, -1$ is, if $x \in (-\pi , \pi )$
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 $k$ )
Values of $\theta (0 < \theta < {360^o})$ satisfying ${\rm{cosec}}\theta + 2 = 0$ are
If $\sqrt 3 \cos \,\theta + \sin \theta = \sqrt 2 ,$ then the most general value of $\theta $ is
The number of solutions of the equation $\sin (9 x)+\sin (3 x)=0$ in the closed interval $[0,2 \pi]$ is
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