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If cos (2 sin^(-1) x) = (1)/(9), then fi...

If `cos (2 sin^(-1) x) = (1)/(9)`, then find the value of x

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Let `sin^(-1) x = theta`. Then,
`cos 2 theta = (1)/(9)`
or `1 - 2 sin^(2) theta = 9`
or `1 - 2x^(2) = (1)/(9)`
or `x^(2) = (4)/(9)`
or `x = +-(2)/(3)`
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