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Find the domain of the function f(x)=1/(...

Find the domain of the function `f(x)=1/(1+2sinx)`

Text Solution

Verified by Experts

To define f(x), we must have `1+2 sinx ne 0`
or ` sinx ne -(1)/(2) " or " x ne n pi +(-1)^(n) (7pi)/(6), n in Z`
Hence, the domain of the function is
`R-{n pi +(-1)^(n)(7pi)/(6),n in Z}`
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