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QuizMultiple Choice

Inverse Trigonometric Functions — Quiz

Question 1 • Precalculus

For what value of theta is cosine inverse of open paren the fraction with numerator square root of 2 and denominator 2 close paren is equal to theta ?

Answer
A
pi over 4
B
pi over 6
C
pi over 2
D
pi over 3

Explanation

The inverse cosine asks for the angle between 0 and π whose cosine is √2/2. Since cos(π/4) = √2/2, the angle is θ = π/4. Therefore, the correct choice is π over 4.

AI-written and checked against the verified answer.

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