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

Let S={x varepsilon(-pi,pi):x!=0,+(pi)/(2)} The sum of all distinct solutions of the equation root(3)(3)sec x+cos ecx+2(tan x-cot x)=0 in the set S is equal to

Let S={x in (-pi,pi),x!=0+-(pi)/2} . The sum of all distinct solution is of the equation sqrt(3)secx+(cosecx+2(tanx-cotx)=0 in the set S=

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

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

The sum of all the solutions in [0, 4pi] of the equation tan x+ cot x+1= cos (x+pi/4) is

The number of solution (s) of the equation sqrt2+cos 2 x=(sin x+cos x) in [-pi/2, pi]

Number of solutions of the equation tanx+secx=2cosx, x in [0, pi] is

The number of solutions of the equation tan x+secx=2 cos x lying in the interval [0, 5pi] is