Home
Class 12
MATHS
Prove statement "tan"^(-1) x +"cot"^(-1)...

Prove statement `"tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)`

Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    SHARAM PUBLICATION|Exercise EXAMPLE|188 Videos
  • LINEAR PROGRAMMING

    SHARAM PUBLICATION|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

Prove statement "tan"^(-1) 1/7+ "tan"^(-1)1/13="tan"^(-1) 2/9

Prove statement "cos"" tan"^(-1) " cot sin"^(-1) x =x

Prove statement "tan"(-1)1/2 +"tan"^(-1) 1/5 +"tan"^(-1) 1/8 = pi/4

Prove statement "cot"^(-1)("tan"2x) +"cot"^(-1)(-"tan"2x) = pi

Prove the "tan"^(-1) 1/(x+y) + "tan"^(-1) y/(x^2=xy+1) ="tan"^(-1)1/x

Solve: "tan"^(-1) 1/(2x+1) +"tan"^(-1) 1/(4x+1) = "tan"^(-1) 2/x^2

Solve equation "tan"^(-1) (x-1)/(x+1) ="tan"^(-1) (2x-x)/(2x+1) = "tan"^(-1) 23/36

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

Solve for x, "tan"^(-1)(x+1)+"tan"^(-1)(x-1)="tan"^(-1)8/(31)[0ltxlt1] .

SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

    Text Solution

    |

  2. Prove the sin^2(sin^(-1) x+sin^(-1) y+sin^(-1)z) =cos^2 (cos^(-1)x +c...

    Text Solution

    |

  3. Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

    Text Solution

    |

  4. Show that:4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi.

    Text Solution

    |

  5. Show that: tan^(-1)(a-b)/(1+ab)+tan^(-1)(b-c)/(1+bc)+tan^(-1)(c-a)/(1+...

    Text Solution

    |

  6. Show that: tan^(-1)(a-b)/(1+ab)+tan^(-1)(b-c)/(1+bc)+tan^(-1)(c-a)/(1+...

    Text Solution

    |

  7. In a triangle ABC "if" m/A =90^@, "prove that "tan"^(-1) b/(a+b) +"ta...

    Text Solution

    |

  8. If "sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^...

    Text Solution

    |

  9. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

  10. If "cos"^(-1)(x/y) +"cos"^-1(y/3)= theta, "prove that" 9x^2- 12xy "co...

    Text Solution

    |

  11. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

    Text Solution

    |

  12. Solve the following equations "tan"^(-1)1/(3)+"tan"^(-1)1/(5)+"tan"^...

    Text Solution

    |

  13. Solve: 3 "sin"^(-1) (2x)/(1+x^2) -4"cos"^(-1) (1-x^2)/(1+x^2) +2 "tan"...

    Text Solution

    |

  14. Solve:"cot"^(-1) 1/(x-1) + "cot"^(-1) 1/x +"cot"^(-1) 1/(x+1) = "cot"^...

    Text Solution

    |

  15. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

    Text Solution

    |

  16. Prove the "tan"("tan"^(-1)x +"tan"^(-1) y + "tan"^(-1)z)="cot"("cot"^-...

    Text Solution

    |

  17. Solve : tan^(-1)x+tan^(-1)((2x)/(1-x^2))=pi/2

    Text Solution

    |

  18. Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

    Text Solution

    |

  19. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

    Text Solution

    |

  20. Prove the "tan"^(-1) 1/(x+y) + "tan"^(-1) y/(x^2=xy+1) ="tan"^(-1)1/x

    Text Solution

    |