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The value of sin-1(sin 3π5) is - Mathematics

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Question

The value of `sin^-1 (sin  (3pi)/5)` is ______.

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Solution

The value of `sin^-1 (sin  (3pi)/5)` is `(2pi)/5`.

Explanation:

∵ `- pi/2 ≤ sin x ≤ pi/2`

∴ `sin^1 (sin  (3pi)/5) = sin^1 sin(pi - (2pi)/5)`

= `sin^-1 (sin  (2pi)/5)`

= `(2pi)/5`

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Chapter 2: Inverse Trigonometric Functions - Exercise [Page 40]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 39 | Page 40

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