Home
Class 12
MATHS
Show that : cos(2 tan^-1 x) = (1-x^2)/(1...

Show that : `cos(2 tan^-1 x) = (1-x^2)/(1+x^2)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

Similar Questions

Explore conceptually related problems

Show that 2 tan^-1 x = cosec^-1((1+x^2)/(2x)), 0 < |x| le 1

Show that : tan^-1 x = sec^-1 sqrt(1+x^2) for x ge 0

Prove that 2 tan^-1 (1/x) = sin^-1 ((2x)/(1+x^2)), |x| ge 1

Show that : tan^(-1)[(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))]=pi/4+1/2cos^(-1)x^(2) .

Prove that cos(2 tan^-1 (sqrt((1-x)/(1+x)))) = x, - 1 < x le 1

Prove that : 1/2 tan^-1x = cos^-1{(1+sqrt(1+x^2))/(2sqrt(1+x^2))}^(1/2)

Show that: tan^(-1)[(sqrt(1+x^(2)) + sqrt(1-x^(2)))/(sqrt(1 +x^(2))- sqrt(1-x^(2)))]=pi/4 +1/2 cos^(-1) x^(2), -1 lt x lt 1

Show that : sec^-1 x = tan^-1 sqrt(x^2 -1) for x ge 1

Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)), |x| < 1/sqrt3

Show that : sin^-1(2xsqrt(1-x^2)) = 2 cos^-1 x, 1/sqrt2lexle1