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The domain of f(x)=cos^(-1) ( 2 /(2+sin ...

The domain of `f(x)=cos^(-1) ( 2 /(2+sin x))` contained in `[0,2pi]`

Text Solution

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`-1<=2/(2+sinx)<=1`
`1<=2+sinx<=3`
`1/3<=1/(2+sinx)<=1`
`2/3<=2/(2+sinx)<=2`.
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