Question

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

Options

• `(2π)/3`

• `π/3`

• `π/2`

• π

Answer 1

The value of `cos^-1(cos(π/2)) + cos^-1(sin((2π)/2))` is `underlinebb((2π)/3)`.

Explanation:

`cos^-1(cot  π/2) + cos^-1(sin  (2π)/3)`

= `cos^-1(0) + cos^-1(sqrt(3)/2)`

= `cos^-1(cos  π/2) + cos^-1(cos  π/6)`

= `π/2 + π/6`

= `(2π)/3`