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Let S = { x∈(-π,π):x ≠ 0, ± π/2}. The sum of all distinct solution of the equation

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Let S = { x∈(-π,π):x ≠ 0, ± π/2}. The sum of all distinct solution of the equation √3 sec x +cosec x + 2(tan x - cot x) = 0 in the set S is equal to

(a)  - 7π/9

(b)  -2π/0

(c)  0

(d)  5π/9

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1 Answer

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Best answer

Correct option  (c)  0

Explanation :

Let us consider

The given equation is

Therefore, the sum of all distinct solutions of the given equation is

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