Home
Class 14
MATHS
If tan A - tan B = x and cot B - cot A =...

If tan A - tan B = x and cot B - cot A =y , then what is cot ( A -B) equal to ?

A

`1/y-1/x`

B

`1/x-1/y`

C

`1/x+1/y`

D

`-1/x-1/y`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos
  • STATISTICS

    PUNEET DOGRA|Exercise PRE YEAR QUESTIONS |163 Videos
  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos

Similar Questions

Explore conceptually related problems

If tan A - tan B =x and cot B - cot A=y, then: cot(A-B)=

If tanA-tan B=x , and cot B-cotA=y , then find the value of cot(A-B) .

If tan A-tan B=xand cot B-cot A=y prove that cot(A-B)=(1)/(x)+(1)/(y)

If tan A+tan B=p and cot A+cot B=q then cot(A+B)=

If tan x+tan y=25 and cot x+cot y=30

tan A-tan B=x and cot A-cot B=y prove that cot(A-B)=(1)/(x)-(1)/(y)

tan A-tan B=x and cot A-cot B=y prove that cot(A-B)=(1)/(x)-(1)/(y)

(i) If tanA-tan B=x and cot B- cot A=y . Prove that cot(A-B)=1/x + 1/y . (ii) If 2 cos A = x+1/x, 2 cos B = y + 1/y , then show that 2 cos (A-B)= x/y+y/x .

If tan A-tan B=x,cot B-cot A=y prove that cot(A-B)=(1)/(x)+(1)/(y)

PUNEET DOGRA-TRIGONOMETRY-PREV YEAR QUESTIONS
  1. If sin A+sin B + sin C =3, then the value of cos A + cos B + cos C is

    Text Solution

    |

  2. If sintheta=cos^(2)theta, then what is cos^(2)theta(1+cos^(2)theta) ...

    Text Solution

    |

  3. If tan A - tan B = x and cot B - cot A =y , then what is cot ( A -B) ...

    Text Solution

    |

  4. What is the maximum value of 3cosx+4sinx+5?

    Text Solution

    |

  5. If (1+tantheta)(1+tanphi)=2, then what is (theta+phi) equal to ?

    Text Solution

    |

  6. If tan A=1//2andtanB=1//3, then what is the value of 4A +4B ?

    Text Solution

    |

  7. What is (sinx)/(1+cosx)+(1+cosx)/(sinx) equal to ?

    Text Solution

    |

  8. What is the value of tan 15^(@).tan195^(@)?

    Text Solution

    |

  9. Angle a is divided into two parts A and B such that A - B = x and tan ...

    Text Solution

    |

  10. If x=sintheta+costhetaandy=sintheta.costheta, then what is the value ...

    Text Solution

    |

  11. What is the value of sin 292(1)/(2)""^@?

    Text Solution

    |

  12. What is the value of (sintheta+costheta-tantheta)/(sectheta+"cosec"-co...

    Text Solution

    |

  13. What is the value of sin 15^@. sin 75^@?

    Text Solution

    |

  14. What is (sin theta+1)/(cos theta) equal to?

    Text Solution

    |

  15. If =sec^(2)theta+cos^(2)theta, where 0ltthetalt(pi)/(2), then whic...

    Text Solution

    |

  16. The value of sin50^(@)-sin70^(@)+sin10^(@) is

    Text Solution

    |

  17. What is ((sec18^(@))/(sec144^(@))+("cosec"18^(@))/("cosec"144^(@))) e...

    Text Solution

    |

  18. One of the angles of a triangle is 1//2 radian and the other is 99^(@...

    Text Solution

    |

  19. Which one of the following is correct?

    Text Solution

    |

  20. If cos x ne -1. then what is (sinx)/(1+cosx) equal to?

    Text Solution

    |