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