Home
Class 12
MATHS
Using derivative, prove sec^(-1) x + cos...

Using derivative, prove `sec^(-1) x + cosec^(-1) x = frac{pi}{2}`

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

Similar Questions

Explore conceptually related problems

Using derivative, prove tan^(-1) x + cot^(-1) x = frac{pi}{2}

Using derivative prove that sin^(-1) x + cos^(-1) x = (pi)/2

Using derivative prove: sec^-1 x + cosec^-1 x=pi/2 , for |x|ge1 .

Using derivative prove: tan^-1x + cot^-1 x= pi/2

Derivative of y=sec^-1(1/(2x^2-1)) is

int (sec^(8)x)/("cosec"x)dx=

If y= sin^(-1) (3x) + sec^(-1) frac{1}{3x} , find dy/dx

Select the correct option from the given alternatives: The principal value branch of sec^-1x is A) [-frac{pi}{2},frac{pi}{2}]-{0} B) [0,pi]-[frac{pi}{2}] C) (0,pi) D) (-frac{pi}{2},frac{pi}{2})

Integrate the following: sec^4 x cosec^2 x

CHETANA PUBLICATION-Differentiation-Exercise
  1. Using derivative, prove sec^(-1) x + cosec^(-1) x = frac{pi}{2}

    Text Solution

    |

  2. Differentiate the following w.r.t. x : sin(x^2 + x)

    Text Solution

    |

  3. Differentiate the following w.r.t. x : cos(log x)

    Text Solution

    |

  4. Differentiate the following w.r.t. x : cot (x^3)

    Text Solution

    |

  5. Differentiate the following w.r.t. x : log(log x)

    Text Solution

    |

  6. Differentiate the following w.r.t. x : 9^(\log(3) (sin x)) + 25^(log(5...

    Text Solution

    |

  7. Differentiate the following w.r.t x: cos^(-1) (2^x)

    Text Solution

    |

  8. Differentiate the following w.r.t. x: cot^(-1) (frac{1}{x})

    Text Solution

    |

  9. Differentiate the following w.r.t. x: sin^(-1) (2 cos^2 x -1)

    Text Solution

    |

  10. Differentiate the following w.r.t. x: cosec^(-1) frac{1}{3x- 4 x^3}

    Text Solution

    |

  11. Differentiate the following w.r.t. x: sin^(-1) (frac{a sin x + b cos ...

    Text Solution

    |

  12. Differentiate the following w.r.t. x: tan^(-1) (frac{6x}{1+ 16 x^2})

    Text Solution

    |

  13. Differentiate the following w.r.t. x: e^(3x) sin^2 x log x

    Text Solution

    |

  14. Differentiate the following w.r.t. x: (x+1)^(3/2) (2x+3)^(5/2) (3x+4)^...

    Text Solution

    |

  15. Differentiate the following w.r.t. x: x^x + a^a

    Text Solution

    |

  16. Differentiate the following w.r.t. x: (sin x)^(tan x)

    Text Solution

    |

  17. Find dy/dx if, x^2 + e^(xy) = y^2 + log(x+y)

    Text Solution

    |

  18. Find dy/dx if, e^(2x) + e^(2y) = e^(2(x+y))

    Text Solution

    |

  19. If y=1+ xe^y , then show that dy/dx =frac{e^y}{2-y}

    Text Solution

    |

  20. If y=log((1-x^2)/(1+x^2)), then (dy)/(dx) is equal to

    Text Solution

    |

  21. If sqrt (1-x^2) + sqrt (1-y^2) = a(x-y), then show that dy/dx = sqrt...

    Text Solution

    |