Home
Class 12
MATHS
sin^-1x/alpha=cos^-1x/beta then value of...

`sin^-1x/alpha=cos^-1x/beta` then value of `sin((2 pi alpha)/(alpha+beta))` is equal to -

A

`4x(1-2x^2)sqrt(1-x^2)`

B

`2x(1-2x^2)sqrt(1-x^2)`

C

`x(1-2x^2)sqrt(1-x^2)`

D

`x(1-2x^2)sqrt(1-4x^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

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

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

sin^(4)alpha+4cos^(4)beta+2=4sqrt(2)sin alpha cos beta;alpha,beta in[0,pi], then cos(alpha+beta)-cos(alpha-beta) is equal to :

If alpha+beta=90^@ and alpha=2beta , then the value of 3cos^2alpha-2sin^2beta is equal to:

The expression (sin alpha+ sin beta)/(cos alpha+cos beta) is equal to:

If sin^(4)alpha+cos^(4)beta+2=4 sin alpha cos beta, 0 le alpha, (pi)/(2) , then (sin alpha+cos beta) is equal to

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)*cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to

csc^(2)(alpha+beta)-sin^(2)(beta-alpha)+sin^(2)(2 alpha-beta)=cos^(2)(alpha-beta) where alpha,beta in(0,(pi)/(2)), then sin(alpha-beta) is equals

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to

If sin alpha+sin beta=a and cos alpha+cos beta=b then tan((alpha-beta)/(2)) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. In a group of AP having 1st term 100 and last term 199. If number of t...

    Text Solution

    |

  2. dy/dx-y=1-e^-x represent a curve y=f(x) such that lim(x to 0) f(x) is ...

    Text Solution

    |

  3. sin^-1x/alpha=cos^-1x/beta then value of sin((2 pi alpha)/(alpha+beta)...

    Text Solution

    |

  4. If x^2+y^2+2ax+2by+c=0 is a circle whose diameter is PQ such that absc...

    Text Solution

    |

  5. Let A=[(a,b),(c,d)] be a matrix such that A=A^-1 where a , b , c ,d in...

    Text Solution

    |

  6. Let means and standard deviation of 40 observations are 30 and 5 respe...

    Text Solution

    |

  7. If p and q are two statements then negation of p hArr (q rArr p) is

    Text Solution

    |

  8. Let a1,a2,a3, . . .,an be in A.P. The ratio of sum of first five terms...

    Text Solution

    |

  9. Let S be sample space for 5 digit numbers . If p is probability of a n...

    Text Solution

    |

  10. Let A=[(1,2),(-2,-5)] , alpha & beta belongs to real numbers such that...

    Text Solution

    |

  11. (p wedge r) hArr (p wedge ~q) which is equivalent to ~p. Then r will b...

    Text Solution

    |

  12. The remainder of (2021)^(2022)+(2022)^(2021) when divided by 7 is

    Text Solution

    |

  13. Let R1 and R2 be two relation defined on R by aR1 b:ab ge 0 and aR2b h...

    Text Solution

    |

  14. If x^2/a^2+y^2/b^2=1 satisfies (4sqrt(2/5),3) and e=1/4 then, a^2+b^2 ...

    Text Solution

    |

  15. Cos ((2pi)/7) + cos ((4pi)/7) + cos ((6pi)/7) =

    Text Solution

    |

  16. If lim(x to 7) (18-[1-x])/([x]-3a) exist, then a is equal to

    Text Solution

    |

  17. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

    Text Solution

    |

  18. The number of points where tangents are vertical or horizontal to curv...

    Text Solution

    |

  19. If two curves y=y1(x) and y=y2(x) satisfies differential equation dy/d...

    Text Solution

    |

  20. Number of all 3xx3 matrices formed by {1,-1,0} such that "Trace"(A A^T...

    Text Solution

    |