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Question

Mathematics Question on Trigonometric Equations

For 0<θ<π/20\lt \theta \lt \pi/2, the solution(s) of m=16cosec(θ+(m1)π4)cosec(θ+mπ4)=42\sum_{m=1}^{6}cosec\left(\theta+(m-1)\frac{\pi}{4}\right)cosec(\theta+\frac{m\pi}{4})=4\sqrt{2} is/are
A. π/4
B. π/6
C. π/12
D. 5π/12
Choose the correct answer from the options given below:

A

A and B only

B

C and D only

C

A and C only

D

B and D only

Answer

C and D only

Explanation

Solution

The correct answer is(B): C and D only