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

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

A

`-4sin^(2)alpha`

B

`4sin^(2)alpha`

C

4

D

`2sin^(2)alpha`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 x- cos^-1 (y/2)=alpha, then 4x^2-4xycosalpha+y^2 is equal to (A) 4 (B) 2sin2alpha (C) -4sin^2alpha (D) 4sin^2alpha

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Evaluation Test
  1. In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...

    Text Solution

    |

  2. Given b = 2, c = sqrt3, angle A = 30^(@), then inradius of DeltaABC is

    Text Solution

    |

  3. If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then :...

    Text Solution

    |

  4. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

    Text Solution

    |

  5. If tan.(A)/(2)andtan.(B)/(2) are the roots of the quadratic equation 6...

    Text Solution

    |

  6. If a triangle is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  7. In a triangle angleA=55^(@),angleB=15^(@),angleC=110^(@). Then c^(2)-a...

    Text Solution

    |

  8. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  9. The value of cot^(pi)/(4)-2 cot^(-13) is

    Text Solution

    |

  10. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

    Text Solution

    |

  11. If cot^(-1)x-"cos"^(-1)(y)/(2)=alpha, then 4x^(2)-4xy cos alpha+y^(2)...

    Text Solution

    |

  12. sin^(-1)x+sin ^(-1)""2x=(pi)/(3)

    Text Solution

    |

  13. If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan....

    Text Solution

    |

  14. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

    Text Solution

    |

  15. If A = 9 tan^(-1) (sqrt2 - 1) and B = 3 sin^(-1)(1/3)+sin^(-1)(3/5) th...

    Text Solution

    |

  16. If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2), then x+y+z=

    Text Solution

    |

  17. The value of cos^(-1){1/sqrt2(cos((9pi)/10)-sin((9pi)/10))}

    Text Solution

    |

  18. tan^(-1)1+tan^(-1)2+tan^(-1)3=

    Text Solution

    |

  19. Solve tan^-1(1/(1+2x))+tan^-1(1/(1+4x))=tan^-1(2/x^2)

    Text Solution

    |

  20. Solve for x : cot^(-1) sin^(-1), 1/sqrt(5) = pi/4

    Text Solution

    |