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Find the value of the following: If sin−1 x = y, then - Mathematics

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प्रश्न

Find the value of the following:

If sin−1 x = y, then

पर्याय

  • `0 <= y < pi`

  • `-pi/2 <= y <= pi/2`

  • `0 < y < pi`

  • `-pi/2 < y < pi/2`

MCQ

उत्तर

`-pi/2 <= y <= pi/2`

Explanation:

It is given that sin−1 x = y.

We know that the range of the principal value branch of sin−1 is `[-pi/2, pi/2]`

Therefore, `[-pi/2 <= y <= pi/2]`

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पाठ 2: Inverse Trigonometric Functions - Exercise 2.1 [पृष्ठ ४२]

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एनसीईआरटी Mathematics [English] Class 12
पाठ 2 Inverse Trigonometric Functions
Exercise 2.1 | Q 13 | पृष्ठ ४२

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