Home
Class 12
MATHS
Prove that : cot^(-1)(sqrt(1+sinx)+sqrt...

Prove that : `cot^(-1)(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))=x/2,0

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Show that : cot^(-1) [(sqrt(1 + sinx) + sqrt(1 - sinx))/(sqrt(1 + sinx) - sqrt(1 - sinx))]= x/2

Differentiate w.r.t. x the function in cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))],0ltxltpi/2

cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/(2), x in (0,(pi)/(4))

" If "y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))](0ltxltpi//2)," then "(dy)/(dx)=

(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))=? (x is in IV quadrant)

If y(x) = cot^(-1) ((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))), x in ((pi)/(2), pi) , then (dy)/(dx) at x=(5pi)/(6) is :

Write the simplest form : cot^(-1) [(sqrt(1+sinx)+sqrt(1-sin x))/(sqrt(1+sinx)-sqrt(1-sin x)]], x epsilon [0, pi/4]

The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))} , where (pi)/2ltxltpi , is

Find (dy)/(dx) of y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using integration find the area of the region bounded by the curves y=...

    Text Solution

    |

  2. If f,g:R->R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Fi...

    Text Solution

    |

  3. In order to supplement daily diet, a person wishes to take X and Y ...

    Text Solution

    |

  4. Bag A contains 3 red and 5 black balls, while bag B contains 4 red and...

    Text Solution

    |

  5. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Evaluate: int((x^2+1)(x^2+4))/((x^2+3)(x^2-5))\ dx

    Text Solution

    |

  9. Find : int(2x+5)sqrt(10-4x-3x^2)dx

    Text Solution

    |

  10. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

    Text Solution

    |

  11. The sum of the surface areas of a cuboid with sides x ,2x and x/3 and ...

    Text Solution

    |

  12. Prove that the line through A(0,1,1) and B(4,5,1) intersects the line ...

    Text Solution

    |

  13. Solve the following differential equation : (cot^(-1)y+x)dy=(1+y^2)dx

    Text Solution

    |

  14. If vec ax vec b= vec cx vec d and vec ax vec c= vec bx vec d , show ...

    Text Solution

    |

  15. Find : int(xsin^(-1)x)/(sqrt(1-x^2))dx

    Text Solution

    |

  16. Solve the following differential equation : y^2dx+(x^2-x y+y^2)dy=0

    Text Solution

    |

  17. Evaluate : int0^pix/(1+sinalphasinx)dx

    Text Solution

    |

  18. A box has 20 pens of which 2 are defective. Calculate the probability ...

    Text Solution

    |

  19. Let, X denote the number of colleges where you will apply after your ...

    Text Solution

    |

  20. Find the angle of intersection of the curves y^2=4a x and x^2=4b ydot

    Text Solution

    |