If (cot^(2)x)/((1+sqrt(3)))+(1)/(2)(3-s...

If `(cot^(2)x)/((1+sqrt(3)))+(1)/(2)(3-sqrt(3))=cotx`, then what is the value of x ?

A

`pi/2, pi/4`

B

`pi/6 , pi/2`

C

`pi/6, pi/4`

D

`pi , pi/4`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If x=sqrt((2+sqrt(3))/(2-sqrt(3))) ,then what is the value of (x^(2)+x-9) ?

If tan^(-1)(-sqrt(3))+cot^(-1)x=pi , then the value of x is :

If x = (a + sqrt(a^(2) + b^(3)))^((1)/(3)) + (a-sqrt(a^(2) + b^(3)))^((1)/(3)) , then what is the value of x^(3) + 3bx - 2a ?

If cot^(-1) ( - (1)/(sqrt(3))) =x then the value of sin x is

If cot(x+y)=1//sqrt(3), cot(x-y)=sqrt(3) then what are the smallest positive values of x and y respectively ?

If cos ecx=(2)/(sqrt(3)) and cot x=(-1)/(sqrt(3))x in[0,2 pi], then the value of cos x+cos2x+cos3x is equal to

x=(4)/(2sqrt(3)+3sqrt(2)) then find the value of (x + (1)/(x))

If x=(sqrt(3)+1)/(sqrt(3)-1) and y=(sqrt(3)-1)/(sqrt(3)+1) then find the value of x^(2)+y^(2)