Question

Prove that tan inverse 1 + tan inverse 2 + tan inverse 3 equal to pi

Answer 1

Step-by-step explanation:

⇒tan⁻¹(1)+tan⁻¹(2)+tan⁻¹(3)

tan⁻¹A+tan⁻¹B=tan(A+B/1-AB)

⇒tan⁻¹(1)+tan⁻¹(2)+tan⁻¹(3)

⇒tan⁻¹(1+2/1-(1*2))+tan⁻¹(3)

⇒tan⁻¹(-3)+tan⁻¹(3)

⇒tan⁻¹(-3+3/1-(-3*3))

⇒tan⁻¹(0)

⇒π

hence proved.

:)