Home
Class 12
MATHS
If cos^(-1) x - cos^(-1).(y)/(2) = alpha...

If `cos^(-1) x - cos^(-1).(y)/(2) = alpha`, then `4x^(2) - 4xy cos alpha + y^(2)` is equal to

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal to 4 (b) 2sin^2alpha (c) -4sin^2alpha (d) 4sin^2alpha

If cos ^(-1)((3)/(5)), beta = tan ^(-1)((1)/(3)) , where -1 le x le 1, -2 le y le 2, x le (y)/(2) , then for all x,y, 4x^(2) - 4xy cos alpha + y^(2) is equal to

If cos^(-1)(x/a) + cos^(-1) (y/b) = a show that : (x^2)/(a^2) - (2xy)/(ab) cos alpha + (y^2)/(b^2) = sin^(2) alpha .

If cos^(-1) (x/2) + cos^(-1) (y/3) =alpha then prove that 9x^2-12xycosalpha+4y^2=36sin^2alpha .

If cos^(-1)(x)/(2)+cos^(-1)(y)/(3)=theta then the maximum of 9x^(2)-12xy costheta + 4y^(2) is

If cos^(-1)x + cos^(-1)y + cos^(-1)z = pi, then xy + yz +zx is equal to

If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal to

If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)cosalpha+(y^2)/(b^2)=sin^2alpha

If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)cosalpha+(y^2)/(b^2)=sin^2alpha

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in [0,\ 1]\ b. [-1/(...

    Text Solution

    |

  2. Domain of the explicit from of the function y represented implicity by...

    Text Solution

    |

  3. If cos^(-1) x - cos^(-1).(y)/(2) = alpha, then 4x^(2) - 4xy cos alpha ...

    Text Solution

    |

  4. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^...

    Text Solution

    |

  5. The solution of the inequality (tan^(-1)x)^2-3tan^(-1)x+2geq0 is- a.(-...

    Text Solution

    |

  6. The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are eq...

    Text Solution

    |

  7. For the equation 2x=tan(2tan^(-1)a)+2 t a n(tan^(-1)a+tan^(-1)a^3) , w...

    Text Solution

    |

  8. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  9. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

    Text Solution

    |

  10. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

    Text Solution

    |

  11. If 0ltxlt1, then "tan"^(-1)(sqrt(1-x^(2)))/(1+x) is equal to

    Text Solution

    |

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

    Text Solution

    |

  13. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

    Text Solution

    |

  14. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

    Text Solution

    |

  15. Sum of infinite terms of the series cos^(-1) ( 1^(2) + 3/4) + cot^(-...

    Text Solution

    |

  16. If the numerical value of tan(cos^(-1)((4)/(5))+tan^(-1)((2)/(3)))" i...

    Text Solution

    |

  17. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

    Text Solution

    |

  18. Prove that tan^(-1).(1)/(4) + tan^(-1).(2)/(9) = (1)/(2) cos ^(-1).(3)...

    Text Solution

    |

  19. Solve: sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x

    Text Solution

    |

  20. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

    Text Solution

    |