Home
Class 12
MATHS
Prove that 3tan^(-1)x=tan^(-1)((3x-x^3)/...

Prove that `3tan^(-1)x=tan^(-1)((3x-x^3)/(1-3x^2))`

Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|48 Videos
  • LIMITS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|49 Videos

Similar Questions

Explore conceptually related problems

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

Prove that : tan^(-1)x +tan^(-1). (2x)/(1-x^(2)) = tan^(-1) . (3x-x^(3))/(1-3x^(2)) , |x| lt 1/(sqrt(3))

int_(0)^(1)tan^(-1)((3x-x^(3))/(1-3x^(2)))dx

Prove that tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is (pi)/(4) and Not(-3 pi)/(4)

Prove that tan^(-1)""(3a^(2)x-x^(3))/(a^(3)-3ax^(2))=3tan^(-1)""x/a .

tan^(-1)2x+tan^(-1)3x=(pi)/(4)

Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^(2)))=tan^(-1)((3x-x^(3))/(1-3x^(2)))

tan^(-1)((sqrt(x)(3-x))/(1-3x))

Prove that tan(2tan^(-1)x)=2tan(tan^(-1)x+tan^(-1)x^(3))