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(3) 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)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Find the number of distinct solution of sec x + tan x =sqrt(3) , where 0 le x le 3pi

If sec x cos 5x=-1 and 0 lt x lt (pi)/(4) , then x is equal to

The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le x le 2pi is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x le 2pi) is

The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(4)x+sin^(4) x+cos^(6)x+sin^(6) x=2 in the interval [0, 2pi] is _______.

Find the number of solution(s) of the equation cos (pi sqrt(x)) cos (pi sqrt(x-4))=1 .

The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)) + sin^(-1) sqrt(x^(2) + x + 1) = (pi)/(2) is

Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0 in 0 le x le 3pi is ________.