3
QuizMultiple Choice

Inverse Trigonometric Functions — Quiz

Question 3 • Precalculus

What is the domain of y is equal to inverse cosine x ?

Answer
A
left bracket negative 1 comma 1 right bracket
B
left bracket 0 comma pi right bracket
C
open paren negative infinity comma infinity close paren
D
left bracket negative pi over 2 comma pi over 2 right bracket

Explanation

The inverse cosine function, arccos(x), is defined only for inputs x that could be outputs of cosine. Since cosine values range from −1 to 1, the domain is the closed interval [−1, 1], which is choice A.

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