Question

The principal value of `cos^-1(1/2) + sin^-1(-1/sqrt(2))` is ______.

Options

• `π/12`

• π

• `π/3`

• `π/6`

Answer 1

The principal value of `cos^-1(1/2) + sin^-1(-1/sqrt(2))` is `underlinebb(π/12)`.

Explanation:

`cos^-1(1/2) + sin^-1((-1)/sqrt(2))`

= `cos^-1(cos  π/3) - sin^-1(1/sqrt(2))`

= `π/3 - sin^-1(sin  π/4)`

= `π/3 - π/4`

= `π/12`