Home
Class 12
MATHS
Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-...

Prove that `tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2) cos^(-1)((a)/(b))}=(2b)/(a)`.

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 that tan (pi/4+1/2cos^(-1)""a/b)+tan(pi/4-1/2cos^(-1)""a /b)=(2b)/a

Prove that tan^(-1)((1)/(5)) +tan^(-1)((1)/(7)) +tan^(-1)((1)/(3)) +tan^(-1)((1)/(8)) = (pi)/(4) .

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

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

Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1) .

Prove that 2tan^(-1)((1)/(5)) +sec^(-1)((5sqrt(2))/(7)) +2tan^(-1)((1)/(8)) =(pi)/(4) .

Prove that "tan"^(-1)(1/4)+"tan"^(-1)(2/9)=1/2"tan"^(-1)(4/3) .

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

SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. If "sin"^(-1)(1-x)(1)-2"sin"^(-1)x=pi/(2), then find the value of x.

    Text Solution

    |

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

    Text Solution

    |

  3. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

    Text Solution

    |

  4. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |

  5. Solve for x tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/79),x>0.

    Text Solution

    |

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

    Text Solution

    |

  7. cos^(-1)x+cos^(-1)y+cos^(-1)z=pi ,then prove that, x^2+y^2+z^2+xyz=1

    Text Solution

    |

  8. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

    Text Solution

    |

  9. If "tan"^(-1) x +"tan" ^(-1) y +"tan"^(-1)z -pi show that x+y+z=xyz.

    Text Solution

    |

  10. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

    Text Solution

    |

  11. Prove that : "tan"^(-1)sqrt((xr)/(yz)) +"tan"^(-1) sqrt((yr)/(yx)) +"...

    Text Solution

    |

  12. If u=cot^(-1)sqrtcos alpha-tan^(-1)sqrt(cosalpha)then prove that sincu...

    Text Solution

    |

  13. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |