Use the unit circle to find the inverse function value in degrees.
sin–1square root of three over two
To find the inverse function value in degrees for sin^(-1)(√3/2), we need to find the angle in the unit circle where the sine value is √3/2.
In the unit circle, the sine value is equal to the y-coordinate of the point on the circle. So, we are looking for the angle where the y-coordinate is √3/2.
This occurs at 60 degrees (or π/3 radians) in the first quadrant. Since sin^(-1)(√3/2) gives us the angle whose sine is √3/2, we have:
sin^(-1)(√3/2) = 60 degrees