Find all values of theta in the interval 0 degree 360 degree

Find all values of theta in the interval [0 degree, 360 degree) that have the given function value. cos theta = -3/2 theta = degree (Type an integer or a decimal. Use a comma to separate answers as needed.)

Solution

cos theta = -sqrt 3/2

theta = cos^-1 ( - sqrt 3/2 )

theta = 150 + 360 n , 210 + 360 n

theta = 210 , 150 degrees