Home
Class 12
MATHS
sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2...

`sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2)+y/(3sqrt2)-2)`

Text Solution

Verified by Experts

The correct Answer is:
`(3pi)/2`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE MAIN|15 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

sin ^ (- 1) ((x ^ (2)) / (4) + (y ^ (2)) / (9)) + cos ^ (- 1) ((x) / (2sqrt (2)) + (y) / (3sqrt (2)) - 2)

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

Find (dy)/(dx) in the following: y=sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

sin^(-1)x+sin^(-1)y=cos^(-1)(sqrt(1-x^(2))sqrt(1-y^(2))-xy) if x in[0,1],y in[0,1]

If y=sin^(-1)(x/(sqrt(1+x^2)))+cos^(-1)(1/(sqrt(1+x^2))), 0

sin^(-1)(2x sqrt(1-x^(2)))+sin^(-1)(3x-4x^(3))=(7 pi)/(9)in((1)/(2)*(1)/(sqrt(2))) is

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R then (a)P=(1)/(2),Q=-(3)/(4sqrt(2))(b)P=(1)/(4),Q=(1)/(sqrt(2)) (c) f(x)=(sqrt(2)cos x+1)/(sqrt(2)cos x-1)(d)f(x)=(sqrt(2)cos x-1)/(sqrt(2)cos x+1)

If x in[(sqrt(3))/(2), 1] then [sin^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x]=

If tan^(-1)x+cos^(-1)((y)/(sqrt(1+y^(2))))=sin^(-1)((3)/(sqrt(10))) , then

f(x)=sqrt(sin(cos x))+ln(-2cos^(2)x+3cos x+1)+e^(cos^(-1))((2sin x+1)/(2sqrt(2sin x)))

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  2. Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)...

    Text Solution

    |

  3. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  4. Find the integral solutions to the equation [x][y]=x+y . Show that all...

    Text Solution

    |

  5. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

    Text Solution

    |

  6. Suppose X and Y are two sets and f:XtoY is a function. For a subset A ...

    Text Solution

    |

  7. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

    Text Solution

    |

  8. Let 0ltalpha,beta,gammalt(pi)/2 are the solutions of the equations cos...

    Text Solution

    |

  9. Let f(x)=(log)2(log)3(log)4(log)5(s in x+a^2)dot Find the set of value...

    Text Solution

    |

  10. tan^(-1)(tan theta)={(pi+theta,-(3pi)/2lt theta lt -(pi)/2),(theta , -...

    Text Solution

    |

  11. Express cot(cosec^(-1)x) as an algebraic function of x.

    Text Solution

    |

  12. Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1...

    Text Solution

    |

  13. If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x)...

    Text Solution

    |

  14. sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2)+y/(3sqrt2)-2)

    Text Solution

    |

  15. If alpha=2 arc t a n((1+x)/(1-x)) in B=a r c s i n((1-x^2)/(1+x^2))...

    Text Solution

    |

  16. Solve {cos^(-1)x}+[tan^(-1)x]=0 for real values of x. Where {.} and [....

    Text Solution

    |

  17. Find the set of all real values of x satisfying the inequality sec^(-1...

    Text Solution

    |

  18. Find the solution of sin^(-1)(x/(1+x))-"sin"^(-1)(x-1)/(x+1)="sin"^(-1...

    Text Solution

    |

  19. An integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)...

    Text Solution

    |

  20. Determine the integral values of k for which the system (tan^(-1)x)^(2...

    Text Solution

    |