Advertisements
Advertisements
Question
The value of `sin^-1 (sin (3pi)/5)` is ______.
Fill in the Blanks
Advertisements
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`
shaalaa.com
Is there an error in this question or solution?
