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Trigonometric Functions and Equations question

2016 · Shift 1 · Q19

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2016 · Shift 1 · Q19

Trigonometric Functions and Equations question

2016 · Shift 1 · Q19

JEE AdvancedMathematicsTrigonometric Functions and EquationsMCQ+3 / −1

Let

S = \left\{ {x \in \left( { - \pi ,\pi } \right):x e 0, \pm {\pi \over 2}} \right\}.

The sum of all distinct solutions of the equation

\sqrt 3 \,\sec x + \csc\,x + 2\left( {\tan x - \cot x} \right) = 0

in the set S is equal to

A
$- {{7\pi } \over 9}$
B
$- {{2\pi } \over 9}$
C
0
D
${{5\pi } \over 9}$

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