Home
Class 12
MATHS
Prove that : tan^(-1)( (a^3 -b^3)/(1+a^3...

Prove that : `tan^(-1)( (a^3 -b^3)/(1+a^3 b^3)) + tan^(-1)( (b^3 - c^3)/(1+b^3 c^3)) + tan^(-1)( (c^3 - a^3)/(1+c^3 a^3)) = 0`

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that : tan^(-1)( (2a-b)/(bsqrt(3))) +tan^(-1)((2b-a)/(asqrt(3))) = pi/3

Prove that : tan^(-1)( (2a-b)/(bsqrt(3))) +tan^(-1)((2b-a)/(asqrt(3))) = pi/3

Prove the "tan"^(-1)(2a-b)/(bsqrt3) +"tan"^(-1) (2b-a)/(asqrt3) =pi/3

Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(asqrt(3))=pi/(3)

Prove that (a^8+b^8+c^8)/(a^3b^3c^3)>1/a+1/b+1/c

Prove that (a^8+b^8+c^8)/(a^3b^3c^3)>1/a+1/b+1/c

Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)| = (a-b)(b-c)(c-a)(a+b+c).

Prove that |{:(1, 1, 1),(a, b, c),(a^(3), b^(3), c^(3)):}|=(a-b)(b-c)(c-a)(a+b+c)

Prove that |(1,1,1),(a,b,c),(a^3,b^3,c^3)| = (a - b)(b-c)(c-a)(a+b+c) .