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Question Number 18523 by Tinkutara last updated on 23/Jul/17

$$\mathrm{Match}\mathrm{the}\mathrm{following}$$$$\mathbf{Column}-\mathbf{I}\left(\mathbf{Trigonometric}\mathbf{equation}\right)$$$$\left(\mathrm{A}\right)\sin 9\theta =\cos (\frac{\pi }{2}-\theta )$$$$\left(\mathrm{B}\right)\sin 5\theta =\sin (\frac{\pi }{2}+2\theta )$$$$\left(\mathrm{C}\right)\cos 11\theta =\cos 3\theta$$$$\left(\mathrm{D}\right)3\tan (\theta -15°)=\tan (\theta +15°)$$$$\mathbf{Column}-\mathbf{II}\left(\mathbf{Family}\mathbf{of}\mathbf{solutions}\right)$$$$\left(\mathrm{p}\right)(2n+1)\frac{\pi }{10},n\in Z$$$$\left(\mathrm{q}\right)\frac{n\pi }{2}+{(-1)}^n\frac{\pi }{4},n\in Z$$$$\left(\mathrm{r}\right)\frac{n\pi }{7},n\in Z$$$$\left(\mathrm{s}\right)(4n+1)\frac{\pi }{14},n\in Z$$

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