Question

What is the equation for the inverse of tangent (tan⁻¹(x))?

a) y = sin⁻¹(x)
b) y = cos⁻¹(x)
c) y = tan⁻¹(x)
d) y = cot⁻¹(x)

Answer 1

The equation for the inverse of tangent (tan⁻¹(x)) is y = tan⁻¹(x).

Step-by-step explanation:

The equation for the inverse of tangent (tan⁻¹(x)) is y = tan⁻¹(x). Inverse functions undo the action of the original function. In this case, the inverse of tangent undoes the action of tangent, resulting in the same angle that was used as input. Therefore, the equation for the inverse of tangent is y = tan⁻¹(x).