Question

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

Answer 1

Let y = `sin^-1  1/sqrt(2)`

Where `- pi/2 ≤ y ≤ pi/2`

sin y = `1/sqrt(2)`

= `sin (pi/4)`

y = `pi/4`

∴ The principal value of `sin^-1  1/sqrt(2) = pi/4`