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

Let S={xepsilon(-pi,pi):x!=0,+pi/2} The sum of all distinct solutions of the equation sqrt3secx+cosecx+2(tan x-cot x)=0 in the set S is equal to

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

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

Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-1) x = pi/2 is

Find the number of solution of the equations |cot x|= cot x +(1)/(sin x), when x in [0,2pi]

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Find the number of solution of the equations x+ 2 tan x =(pi)/(2) , when x in[0,2pi]

If sec x cos 5x+1=0 , where 0lt x lt 2pi , then x=

Find the number of solution of the equations 2^(cos x)=|sin x|, when x in[-2pi,2pi]