MATHEMATICS_Q22_JEE_Advanced_2010_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE ADVANCE 2010

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The number of values of $\theta$ in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ such that $\theta \neq \frac{\mathrm{n} \pi}{5}$ for $\mathrm{n}=0, \pm 1, \pm 2$ and $\tan \theta=\cot 5 \theta$ as well as $\sin 2 \theta=\cos 4 \theta$ is

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