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Inverse Trigonometric Functions · Question 5 of 120

What is f(1) for this f(x) = sin^-1(2x - 1)?

Question 5

EasyOriginal question

Let f(x)=sin⁡−1(2x−1)f(x) = \sin^{-1}(2x - 1).

What is f(1)f(1) for this f(x)=sin⁡−1(2x−1)f(x) = \sin^{-1}(2x - 1)?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. f(1)=sin⁡−1(2−1)=sin⁡−11f(1) = \sin^{-1}(2 - 1) = \sin^{-1} 1.

  2. π2\frac{\pi}{2}.

Worth noting

1 is the input to sin⁡−1\sin^{-1}, not its value.

Concept
Principal value
Typical time
90 s
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The rule this testsDomains and ranges
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Ten questions from Inverse Trigonometric Functions, at your own pace.

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