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Inverse Trigonometric Functions · Question 1 of 120

Question 1

EasyOriginal question

What is the domain of sin⁡−1x\sin^{-1} x?

Options for question 1

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. sin⁡−1x\sin^{-1} x undoes sin⁡\sin, so its inputs are the values sin⁡\sin takes.

  2. Those are [−1,1][-1, 1].

Worth noting

[−π2,π2]\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] is the range, the angles it gives back.

Concept
Domain and range of an inverse function
Typical time
60 s
Your time
—
The rule this testsDomains and ranges
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Ten questions from Inverse Trigonometric Functions, at your own pace.

Practise this chapter →

Ten questions from Inverse Trigonometric Functions, at your own pace.

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