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:

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| 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