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Find the solution of sinx=-(sqrt(3))/2....

Find the solution of `sinx=-(sqrt(3))/2`.

Text Solution

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The correct Answer is:
`x = n pi + (-1)^n ((4 pi)/3), n in mathbbZ`

`sinx=-(sqrt(3))/2`
`=-sin(pi/3)`
`=sin(pi + pi/3)`
`=sin((4 pi)/3)`
`implies x = n pi + (-1)^n ((4 pi)/3), \ \ n in mathbbZ`
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