Home
Class 12
MATHS
If sin^(-1)x=theta+betaa n dsin^(-1)y=th...

If `sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta,` then `1+x y` is equal to

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

If sin^(3) theta+sin theta cos theta+ cos^(3) theta=1 , then theta is equal to (n in Z)

The value of sin^(2)theta+(1)/(1+tan^(2)theta) is equal to

Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2) , Then, int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta is equal to (where C is a constant of integration)

If xsin^(3) theta +y cos^(3) theta=sin theta cos theta and x sin theta =y cos theta , then prove that x^(2)+y^(2)=1 .

If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equal to

If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin theta =y cos theta then x^2 +y^2 is

If sin^(-1)x+sin^(-1)y=(2pi)/(3)",then"cos^(-1)x+cos^(-1)y is equal to

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) +...

    Text Solution

    |

  2. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

    Text Solution

    |

  3. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

    Text Solution

    |

  4. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

    Text Solution

    |

  5. The value of (lim)(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (...

    Text Solution

    |

  6. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

    Text Solution

    |

  7. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

    Text Solution

    |

  8. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

    Text Solution

    |

  9. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |

  10. The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is (a)1...

    Text Solution

    |

  11. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are ...

    Text Solution

    |

  12. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

    Text Solution

    |

  13. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

    Text Solution

    |

  14. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  15. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  16. Which of the following quantities is/are positive? (a)"cos"(tan^(-1)(t...

    Text Solution

    |

  17. Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-...

    Text Solution

    |

  18. If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-....

    Text Solution

    |

  19. If we consider only the principal values then the value inverse trigon...

    Text Solution

    |

  20. The number of real solution of the equation sqrt(1+cos2x)=sqrt2 sin^(-...

    Text Solution

    |