Home
Class 12
MATHS
Prove that tan(pi/4+1/2 cos^-1(a/b))+ta...

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

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

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

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

If x != 0 , then tan((pi)/4 + 1/2 cos^(-1) x) + tan ((pi)/4 - 1/2 cos^(-1) x) = ......

Prove the following: tan[(pi)/(4)+(1)/(2)cos^(-1)((a)/(b))]+tan[(pi)/(4)-(1)/(2)cos^(-1)((a)/(b))]=(2b)/(a)

Prove that : tan^(-1) [2 cos(2sin^(-1)(1/2))] = pi/4

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. A small firm manufactures necklaces and bracelets. The total number of...

    Text Solution

    |

  2. int1/(x^2-4x+8)dx

    Text Solution

    |

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

    Text Solution

    |

  4. Using properties of determinants, prove the following |[x,x+y,x+2y],[x...

    Text Solution

    |

  5. Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3...

    Text Solution

    |

  6. Differentiate the function (sin x)^x+ sin^(-1) sqrtx with respect to...

    Text Solution

    |

  7. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

    Text Solution

    |

  8. Evaluate: int(2x)/((x^2+1)(x^2+2))dx

    Text Solution

    |

  9. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

    Text Solution

    |

  10. Prove that x^2-y^2=c(x^2+y^2)^2 is the general solution of diffe...

    Text Solution

    |

  11. Show that the function f(x) = x^3– 3x^2 + 6x – 100 is increasing on R

    Text Solution

    |

  12. The x-coordinates of a point on t line joining the points Q(2,2,1)a...

    Text Solution

    |

  13. The random variable X can the values 0, 1, 2, 3, Give P(X = 0) = P(X =...

    Text Solution

    |

  14. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

    Text Solution

    |

  15. Often it is taken that a truthful person commands, more respect in ...

    Text Solution

    |

  16. Two tailors, A and B, earn 300 and 400 per day respectively. A can st...

    Text Solution

    |

  17. Find : int (dx)/(5-8x-x^2)

    Text Solution

    |

  18. Discuss the commutativity and associativity of binary operation * d...

    Text Solution

    |

  19. If the sum of lengths of hypotenuse and a side of a right angled tr...

    Text Solution

    |

  20. Using integration, find the area of region bounded by the triangle who...

    Text Solution

    |