jee-advanced 2009 Q28

jee-advanced · India · paper2 Trigonometric equations in context

For $0<\theta<\frac{\pi}{2}$, the solution(s) of $$\sum_{m=1}^{6}\operatorname{cosec}\left(\theta+\frac{(m-1)\pi}{4}\right)\operatorname{cosec}\left(\theta+\frac{m\pi}{4}\right)=4\sqrt{2}$$ is(are)
(A) $\frac{\pi}{4}$
(B) $\frac{\pi}{6}$
(C) $\frac{\pi}{12}$
(D) $\frac{5\pi}{12}$

For $0<\theta<\frac{\pi}{2}$, the solution(s) of
$$\sum_{m=1}^{6}\operatorname{cosec}\left(\theta+\frac{(m-1)\pi}{4}\right)\operatorname{cosec}\left(\theta+\frac{m\pi}{4}\right)=4\sqrt{2}$$
is(are)\\
(A) $\frac{\pi}{4}$\\
(B) $\frac{\pi}{6}$\\
(C) $\frac{\pi}{12}$\\
(D) $\frac{5\pi}{12}$

Paper Questions

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