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Trigonometric Functions and Equations question

2009 · Shift 2 · Q21

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2009 · Shift 2 · Q21

Trigonometric Functions and Equations question

2009 · Shift 2 · Q21

JEE AdvancedMathematicsTrigonometric Functions and EquationsMultiple correct+4 / −2

For

0 \lt \theta \lt {\pi \over 2},

the solution (s) of

\sum\limits_{m = 1}^6 {\csc\,\left( {\theta + {{\left( {m - 1} \right)\pi } \over 4}} \right)\,\csc\,\left( {\theta + {{m\pi } \over 4}} \right) = 4\sqrt 2 }

is (are)

A
$\,{\pi \over 4}$
B
$\,{\pi \over 6 }$
C
$\,{\pi \over 12}$
D
$\,{5\pi \over 12}$

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