Home
Class 12
MATHS
d/(dx){tan^(-1)((cosx)/(1+sinx))}=...

`d/(dx){tan^(-1)((cosx)/(1+sinx))}=`

A

`(pi)/(4)-(x)/(2)`

B

`(pi)/(4)+(x)/(2)`

C

`(x)/(2)`

D

`(pi)/(4)-x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

d/(dx)(tan^(-1) ((cos x)/(1+sinx)) =

(d)/(dx)[tan^(-1)((sinx)/(1+cosx))]=

d/(dx)tan^-1((1-x)/(1+x))=

Differentiate w.r.t. x: (i)tan^(-1)((cosx)/(1+sinx))" "(ii)tan^(-1)(secx+tanx)

int_(-1)^(1)(d)/(dx)[tan^(-1)((1)/(x))]dx=

(d)/(dx)[tan^(-1)((ax-b)/(bx+a))]=

"Differentiate: "tan^(-1)((cos x)/(1+sin x))

(d)/(dx)[tan^(-1)sqrt((1+sinx)/(1-sinx))]=

Differentiate each of the following w.r.t. x: (i) tan^(-1)((1-cosx)/(sinx))" "(ii)tan^(-1)((cos x -sinx)/(cosx +sinx))

Differentiate w.r.t. x: (i)tan^(-1){sqrt((1+cosx)/(1-cosx))}" "(ii)tan^(-1){sqrt((1+sinx)/(1-sinx))}

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. सरलतम रूप में लिखे। tan^(-1)((cosx-sinx)/(cosx+sinx))

    Text Solution

    |

  2. If (a)/(b)tanxgt-1,"then "tan^(-1)[(acosx-bsinx)/(bcosx+asinx)] is

    Text Solution

    |

  3. d/(dx){tan^(-1)((cosx)/(1+sinx))}=

    Text Solution

    |

  4. y=tan^(-1)(3a^2x-x^3)/(a(a^2-3x^2))

    Text Solution

    |

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

    Text Solution

    |

  6. Solve y=tan^(-1)((sqrt(1+x^2)-1)/x)

    Text Solution

    |

  7. sin^(-1)[x sqrt(1-x) - sqrtx sqrt(1-x^2)]=

    Text Solution

    |

  8. If cos^(-1).((1)/(x))=theta, then tantheta=

    Text Solution

    |

  9. If: sin(sin^(-1)1/5 + cos^(-1)x)=1, then: x=

    Text Solution

    |

  10. Find the value of sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot

    Text Solution

    |

  11. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

    Text Solution

    |

  12. If x>=0and theta=sin^-1x+cos^-1x-tan^-1x, then

    Text Solution

    |

  13. If (tan^-1x)^2 + (cot^-1x)^2 =(5 pi^2)/8 then x equals :

    Text Solution

    |

  14. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

    Text Solution

    |

  15. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

    Text Solution

    |

  16. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

    Text Solution

    |

  17. cot^-1[(cot)^(1/2)]+tan^-1[(cotalpha)^(1/2)=x then sin x= (A) 1 (B) co...

    Text Solution

    |

  18. If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove th...

    Text Solution

    |

  19. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

    Text Solution

    |

  20. सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(p...

    Text Solution

    |