Home
Class 12
MATHS
In a DeltaABC, if mangleA=90^(@), prove ...

In a `DeltaABC`, if `mangleA=90^(@)`, prove that `"tan"^(-1)b/(a+c)+"tan"^(-1)c/(a+b)=pi/(4)`, where a,b, c are sides of the triangle.

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

In a triangle ABC "if" m/_A =90^@, "prove that "tan"^(-1) b/(a+b) +"tan"^(-1) c/(a+b) =pi/4 . where a,b,c, are sides of the triangle.

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

Write the value of "tan"^(-1)(a/b)-"tan"^(-1)((a-b)/(a+b)) .

Prove that: tan^(-1)(3/4)+tan^(-1)(3/5)-tan^(-1)(8/19)=pi/4

In triangle ABC, prove that tan(B+C)/2=cot(A/2)

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

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

If "tan"^(-1)a+"tan"^(-1)b+"tan"^(-1)c=pi , then prove that a+b+c=abc .

SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Prove statement "cos"^(-1) 12/13 +2"cos"^(-1) sqrt(64/65) +"cos"^(-1) ...

    Text Solution

    |

  14. Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...

    Text Solution

    |

  15. Prove that: tan^(-1)(x)=2tan^(-1)(cosec tan^(-1)x-tan cot^(-1)x)

    Text Solution

    |

  16. Prove that cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

    Text Solution

    |

  17. Prove that: cos^(-1)(4/5)+cos^(-1)(12/13)=cos^(-1)(33/65)

    Text Solution

    |

  18. Solve: 2tan^(-1)(sinx)=tan^(-1)(2secx),x!=pi/2.

    Text Solution

    |

  19. Prove that (9pi)/(8) -(9)/(4) sin^(-1)((1)/(3)) =(9)/(4) sin^(-1)((2sq...

    Text Solution

    |

  20. Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...

    Text Solution

    |