Select all of the following that represent the exact solutions of sin (x) = sqrrt3/2

The values of x are 60 and 120 degrees respectively

Step-by-step explanation:

In this question, we are asked to give the all the values of x if sin (x) = √3/2

Now, to get these values, we need to know the quadrants in which we have the sine as positive.

We have the sine positive on only two quadrants, these are the first and second quadrants only.

For the first quadrant, the value of x is just x. Meaning an arc sine can simply give us the value of x.

For the second quadrant, we have 180-x, this will give us the value of the angle that gives the same answer in that quadrant.

Let's calculate!

sin x = √3/2

x = arc sin (√3/2)

x = 60 degrees on the first quadrant.

For the second value, we have the value to be 180 - 60 = 120