The general solution of the equation $sin^{100}x\,-\,cos^{100} x= 1$ is
The general solution of the equation $sin^{100}x\,-\,cos^{100} x= 1$ is
- A
$2n\pi + \frac{\pi }{3},\,n \in I$
- B
$n\pi + \frac{\pi }{2},\,n \in I$
- C
$n\pi + \frac{\pi }{4},\,n \in I$
- D
$2n\pi - \frac{\pi }{3},\,n \in I$
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The number of solutions of $tan\, (5\pi\, cos\, \theta ) = cot (5 \pi \,sin\, \theta )$ for $\theta$ in $(0, 2\pi )$ is :
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If $\tan 2\theta \tan \theta = 1$, then the general value of $\theta $ is
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- [JEE MAIN 2016]
$\tan \,{20^o}\cot \,{10^o}\cot \,{50^o}$ is equal to
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