Find the principal value of sin^(-1)(1/(...

Find the principal value of `sin^(-1)``(1/(sqrt(2)))`

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Let ` x = sin-1 (1 / sqrt2)`
The principal value of `sin^-1 x` lies in [`(- pi / 2)`, `(pi/ 2)`].
`sin x = 1 / sqrt2`
Hence, `x = pi / 4.`

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