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Let S={x in (-pi, pi) : x ne 0, pm pi/2}...

Let `S={x in (-pi, pi) : x ne 0, pm pi/2}`. The sum of all distinct solutions of the equation `sqrt(2) sec x+cosec x + 2(tan x-cot x)`
`=0` in the set S is equal to

A

`-(7pi)/(9)`

B

`-(2pi)/(9) `

C

`0`

D

`(5pi)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • What is the sum of the roots of the equation (x-sqrt2)(x^2-sqrt3x+pi)=0 ?

    A
    -0.315
    B
    -0.318
    C
    1.414
    D
    3.15

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