If θ is an angle in standard position and its terminal side passes through the point (-√3/2, 1/2) on a unit circle, a possible value of θ, in radians, is

Question

1. 11π/6
2. 2π/3
3. 4π/3
4. 5π/6

Answer 1

Note: Instead of theta, I will use x

Given: x is an angle in standard position

and it's terminal side passes through (-root(3)/2 , 1/2 )

Find: Possible value of x in radians.

Solution:

The signs of the terminal coordinates indicate

x terminates in Q2. it is just pi/6 short of pi radians.

So, x = 5pi/6