If $\cos \theta = - \frac{1}{{\sqrt 2 }}$ and $\tan \theta = 1$, then the general value of $\theta $ is
If $\cos \theta = - \frac{1}{{\sqrt 2 }}$ and $\tan \theta = 1$, then the general value of $\theta $ is
- A
$2n\pi + \frac{\pi }{4}$
- B
$(2n + 1)\,\pi + \frac{\pi }{4}$
- C
$n\pi + \frac{\pi }{4}$
- D
$n\pi \pm \frac{\pi }{4}$
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The general value of $\theta $ that satisfies both the equations $cot^3\theta + 3 \sqrt 3 $ = $0$ & $cosec^5\theta + 32$ = $0$ is $(n \in I)$
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- [JEE MAIN 2016]
Number of solutions of equation $secx = 1 + cosx + cos^2x + ........ \infty$ in $x \in [-50 \pi, 50 \pi]$ is -
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