Question

It is the function cos⁻¹ with domain [-1,1] and range [0, π]. Also called arccosine (arccos). What is this function commonly referred to as?

A. Cosine Inverse (cos⁻¹).
B. Tangent (tan).
C. Sine Inverse (sin⁻¹).
D. Secant (sec).

Answer 1

The function with the domain [-1,1] and range [0, π] is the Cosine Inverse (cos⁻¹), also referred to as arccosine, which 'undoes' the cosine of an angle. Hence, Option A is correct.

Step-by-step explanation:

The function commonly referred to with the domain [-1,1] and range [0, π], and which is called arccosine or cosine inverse (cos⁻¹), is Answer A: Cosine Inverse (cos⁻¹). This function can be understood in the context of a right triangle, where the ratio of the adjacent side to the hypotenuse gives the cosine of an angle, and cos⁻¹ is the angle whose cosine is a given number. The cosine inverse function is used to 'undo' the cosine function, similar to how subtraction is the inverse of addition.