For , the solution(s) of _ m=1 ^ 6 cosec ( + (m-1) 4 ) cosec ( + m 4 )=4 2…

MATHEMATICS · Multi correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

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 (1)

\frac{\pi}{4}

(2)

\frac{\pi}{6}

(3)

\frac{\pi}{12}

(4)

\frac{5\pi}{12}

Related theory

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