Home
Class 12
MATHS
Sin^-1x/a=Cos^-1x/b=tan^-1y/c value of c...

`Sin^-1x/a=Cos^-1x/b=tan^-1y/c` value of `cos((pic)/(a+b))`

A

`(1-y^2)/( y sqrt(y))`

B

`1- y^2`

C

`(1-y^2)/(1+y^2)`

D

`(1-y^2)/(2y)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

If cos^(-1)x=tan^(-1)x , then sin(cos^(-1)x)=

If a sin^(-1)x-b cos^(-1)x=c, then a sin^(-1)x+b cos^(-1) equal to

If -1<=x,y<=1 such that sin^(-1)x+sin^(-1)y=(pi)/(2), find the value of cos^(-1)x+cos^(-1)y

If -1<=x,y<=1 such that sin^(-1)x+sin^(-1)y=(pi)/(2), find the value of cos^(-1)x+cos^(-1)y

If sin^(-1)x+sin^(-1)y=(pi)/(3) and cos^(-1)x+cos^(-1)y=(pi)/(6), find the values of x and y.

If a le sin^(-1)x +cos^(-1)x+tan^(-1)x le b , then:

The value of 2tan^(-1)(cos ec tan^(-1)x-tan cot^(-1)x) is equal to (a)cot ^(-1)x( b ) (cot^(-1)1)/(x) (c)tan ^(-1)x (d) none of these

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. Growth of bacteria is directly proportional to number of bacteria . At...

    Text Solution

    |

  2. If (1,5,35 ),( 7,5,5),( 1, lamda ,7) and ( 2 lamda ,1,2) are coplan...

    Text Solution

    |

  3. Sin^-1x/a=Cos^-1x/b=tan^-1y/c value of cos((pic)/(a+b))

    Text Solution

    |

  4. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  5. Let f be any function defined on R and let it satisfy the condition : ...

    Text Solution

    |

  6. y=1/2x^4-5x^3+18x^2-19x what will be max. value of slope at

    Text Solution

    |

  7. The intersection of three lines x-y=0 ,x +2y =3 and 2x +y=6 ...

    Text Solution

    |

  8. Consider the three planes P1 :3x +15 y +21 z=9, P2 :x - 3y ...

    Text Solution

    |

  9. The value of |((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1...

    Text Solution

    |

  10. The value of int(- pi//2) ^(pi//2) ( cos^2 x)/( 1+3^x ) dx is

    Text Solution

    |

  11. Let P(x,y) be a point which is a constant distance from the origin. Th...

    Text Solution

    |

  12. For the statements p and q, consider the following compound statements...

    Text Solution

    |

  13. Let a, b in R. If the mirror image of the point P(a, 6, 9) with respec...

    Text Solution

    |

  14. Equation of plane through (1,0,2) and line of intersection of planes v...

    Text Solution

    |

  15. If P is a point on the parabola y = x^2+ 4 which is closest to the str...

    Text Solution

    |

  16. The angle of elevation of a jet plane from a point A on the ground is...

    Text Solution

    |

  17. If n ge 2 is a positive integer, then the sum of the series ""^(n+1)C...

    Text Solution

    |

  18. Let f(x)={(-55x,,,xlt-5),(2x^3-3x^2-120x,,,-5lexlt4),(2x^3-3x^2-36x+10...

    Text Solution

    |

  19. Let f be a twice differentiable function defined on R such that f(0) ...

    Text Solution

    |

  20. For which of the following curves, the line x + sqrt3 y = 2sqrt3 is th...

    Text Solution

    |