Question

Find pricipal valur of tan inverse root 3 minus cot inverse minus root 3

Answer 1

We know that tan¯¹ √3 is at the angle π/3.

Now,

⇒ tan¯¹ √3 - cot-1 (-√3)

⇒ π/3 - (π-π/3)

⇒ π/3 - 5π/6

⇒ -3π/6

⇒ -π/2