Question

`tan^-1 sqrt(3) - cot^-1 (-sqrt(3))` is equal to ______.

Options

• π

• `-π/2`

• 0

• `2sqrt(3)`

Answer 1

`tan^-1 sqrt(3) - cot^-1 (-sqrt(3))` is equal to `underlinebb(-π/2)`.

Explanation:

`tan^-1 sqrt(3) - cot^-1 (-sqrt(3))`

= `tan^-1 sqrt(3) - (π - cot^-1 sqrt(3))`

= `tan^-1 sqrt(3) - π + cot^-1 sqrt(3)`

= `π/3 - π + π/6`

= `π/2 - π`

= `-π/2`