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The domain of sin–1 2x is ______. - Mathematics

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Question

The domain of sin–1 2x is ______.

Options

  • [0, 1]

  • [– 1, 1]

  • `[-1/2, 1/2]`

  • [–2, 2]

MCQ
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Solution

The domain of sin–1 2x is `[-1/2, 1/2]`.

Explanation:

Let sin–12x = θ

So that 2x = sin θ.

Now – 1 ≤ sin θ ≤ 1

i.e.,– 1 ≤ 2x ≤ 1

Which gives `-1/2 ≤ x ≤ 1/2`.

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Chapter 2: Inverse Trigonometric Functions - Solved Examples [Page 30]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Solved Examples | Q 28 | Page 30

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