Home
Class 11
MATHS
Find the value of tan{1/2 sin^-1((2x)/(1...

Find the value of `tan{1/2 sin^-1((2x)/(1+x^2)) + 1/2cos^-1 ((1-y^2)/(1+y^2))}`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

Find the value of : "tan"1/2["sin"^(-1)(2x)/(1+x^(2))+"cos"^(-1)(1-y^(2))/(1+y^(2))],|x|lt1,ygt0 and xylt1

If x in (0, 1) , then find the value of tan^(-1) ((1 -x^(2))/(2x)) + cos^(-1) ((1 -x^(2))/(1 + x^(2)))

Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)) .

If (x -1) (x^(2) + 1) gt 0 , then find the value of sin((1)/(2) tan^(-1)((2x)/(1 - x^(2))) - tan^(-1) x)

If x gt 0 , then the value of sin{tan^-1((1-x^2)/(2x))+cos^-1((1-x^2)/(1+x^2))} is equal to

Draw the graph of y=tan^(-1)((2x)/(1-x^(2)))

Find the value of : tan^(-1)[ 2 cos (2 "sin"^(-1)1/2)]

tan [(1)/(2) sin^(-1)""(2x)/(1+x^(2))+(1)/(2) cos ^(-1)""(1-y^(2))/(1+y^(2))], xy ne 1

tan((1)/(2) sin ^(-1)""(2x)/(1+x^(2))+(1)/(2)cos^(-1)((1-x^(2))/(1+x^(2))))=(2x)/(1-x^(2))(|x|ne 1)

Find the derivative of "sin"^(-1) (2x)/(1+x^(2)) w.r.t. "tan"^(-1)(2x)/(1-x^(2))

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. If sum(i=1)^(2n) sin^-1xi = npi then find the value of sum(i = 1)^(2n)...

    Text Solution

    |

  2. If sin^-1x + sin^-1 y + sin^-1 z = pi, prove that x^4 + y^4 + z^4 + 4x...

    Text Solution

    |

  3. Find the value of tan{1/2 sin^-1((2x)/(1+x^2)) + 1/2cos^-1 ((1-y^2)/(1...

    Text Solution

    |

  4. If sin^-1x + sin^-1 y + sin^-1 z = (3 pi)/2, then find the value of su...

    Text Solution

    |

  5. Solve for x : If [sin^-1(cos^-1(sin^-1(tan^-1x)))]=1, where [cdot] d...

    Text Solution

    |

  6. If xgamma is given by, x(gamma + 1) = sqrt(1/2(1+xgamma) Then show :...

    Text Solution

    |

  7. Solve sin x + sqrt3 cos x = sqrt2

    Text Solution

    |

  8. Solve tan theta + tan 2theta + tan 3theta = 0

    Text Solution

    |

  9. The number of all possible triplets (a1,a2,a3) such that : a1 + a2cos2...

    Text Solution

    |

  10. Find the general solutions of: 2^(1 + abscosx + abs(cosx)^2 + abs(co...

    Text Solution

    |

  11. tan ((pip)/4) = cot((qpi)/4) if :

    Text Solution

    |

  12. The general solution of the equation : cos x cdot cos 6x = -1 is :

    Text Solution

    |

  13. Find the interval in which , cos^-1 x gt sin^-1 x.

    Text Solution

    |

  14. Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

    Text Solution

    |

  15. Evaluate : sum(n = 1)^infty tan^-1(1/(n^2 + n + 1))

    Text Solution

    |

  16. If tan^-1 x + tan^-1 2x + tan^-1 3x = pi, then:

    Text Solution

    |

  17. The number of value of 'x' in the interval [0 , 3pi] satisfying the eq...

    Text Solution

    |

  18. The most general solution , satisfying the equation cos theta = 1/sqrt...

    Text Solution

    |

  19. The number of solution of 16^(sin^2 x) + 16^(cos^2 x) = 10 : 0 le x le...

    Text Solution

    |

  20. The equation sin^6 x + cos^6 x = k possesses solution if

    Text Solution

    |