Question

What is the equation for the inverse of tangent?

1) y=sin⁻¹(x)
2) y=cos⁻¹(x)
3) y=tan⁻¹(x)
4) y=cot⁻¹(x)

Answer 1

The equation for the inverse of tangent is y=tan⁻¹(x), also known as the arctangent, which finds the angle with a given tangent value.

Step-by-step explanation:

The equation for the inverse of the tangent function is y=tan⁻¹(x). The inverse tangent function, also known as the arctangent, is used to find the angle whose tangent is the given number x. In other words, if θ=tan⁻¹(x), then tan(θ)=x. Options 1) y=sin⁻¹(x), 2) y=cos⁻¹(x), and 4) y=cot⁻¹(x) represent the inverse sine, inverse cosine, and inverse cotangent functions, respectfully, each of which are distinct functions from the inverse tangent.