Find the exact value of sin-1 (-square root 3/2). write your answer in radians in terms of pi.

We can use a calculator to evaluate the expression sin-1 (-square root 3/2). Since we are asked to answer the problem in terms of radians, we shift the calculator's mode to radians. The answer is equal to -pi/3. This means the angle must be in the third or fourth quadrant. The answer is 7/6 pi n and 5pi/3 n where n is an integer.