Write the equation for the inverse of the function. y=cos (x-pi/2)

answer

y = cos (x - π/2) Solve for x:

y = sin (x)

y = sin (x) is equivalent to sin (x) = y:

sin (x) = y

Take the inverse sine of both sides:

Answer: |

| x = π - sin^ (-1) (y) + 2 π n_1 for n_1 element Z

or x = sin^ (-1) (y) + 2 π n_2 for n_2 element Z