Question

Write the equation for the inverse of the function. y=pi/2+sinx

Answer 1

To find the inverse of the function y = π/2 + sin(x), we need to first swap the positions of x and y:

x = π/2 + sin(y)

Now, we can solve for y:

sin(y) = x - π/2

y = sin⁻¹(x - π/2)

Therefore, the equation for the inverse of the function y = π/2 + sin(x) is y = sin⁻¹(x - π/2).