Select all of the following that represent the exact solutions of sin(x)=sqrt(3)/2

Step: take the inverse sine of both side of the equation

x=arcsin (√3/2)

The exact value of arcsin (√3/2) is π/3

Step 2: the sine function is positive in the 1st and 2nd quadrants. Therefore to find the solution in the second quadrant we need to subtract the reference angle from π.

x= π - π/3

We need to simply and comes out as x= 2 π/3

x= π/3 and x= 2π/3