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Find the value of sin-1(sin 5π3) - Mathematics and Statistics

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Question

Find the value of `sin^-1(sin  (5pi)/3)`.

Sum
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Solution

`sin^-1(sin  (5pi)/3)`

= `sin^-1[sin(2pi - pi/3)]`

= `sin^-1 (-sin  pi/3)`

= `sin^-1 [sin(-pi/3)]`

= `-pi/3`

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