Home
Class 12
MATHS
If tan A - tan B =x and cot B - cot A=y,...

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

A

`(1)/(y)-(1)/(x)`

B

`(1)/(x)-(1)/(y)`

C

`(1)/(y)+(1)/(x)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 2(Level -I)|36 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos

  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

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

If tan A-tan B=xand cot B-cot A=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)

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)

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

If tan A+tan B=a and cot A+cot B=b prove that: cot(A+B)=(1)/(a)-(1)/(b)

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

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 1
  1. If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+...

    Text Solution

    |

  2. The value of cotx+cot(60^@+x)+cot(120^@+x) is equal to

    Text Solution

    |

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

    Text Solution

    |

  4. If tan 25^@ = x, then (tan155^@ - tan115^@)/(1+tan 155^@ tan115^@) is ...

    Text Solution

    |

  5. Let alpha, beta be such that pi lt alpha lt beta lt 3pi, if sin alpha...

    Text Solution

    |

  6. The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A...

    Text Solution

    |

  7. If alpha+beta+gamma=2pi , then

    Text Solution

    |

  8. In a triangle ABC if tan A lt 0 then

    Text Solution

    |

  9. If A+B=225^(@) then the value of (cotA)/(1+cotA).(cotB)/(1+cotB) is

    Text Solution

    |

  10. The value of (sin 24^@ cos 6^@-sin 6^@sin 66^@)/(sin 21^@ cos 39^@-cos...

    Text Solution

    |

  11. The valud of sin 12^(@) sin 48^(@) sin 54^(@) is equal to-

    Text Solution

    |

  12. If A + B + C = (3pi)/2, then cos 2A + cos 2B + cos 2C is equal to (A) ...

    Text Solution

    |

  13. The expression (cos 6x+6cos 4x+15 cos 2x+10)/(cos 5x+5 cos 3x+10 co...

    Text Solution

    |

  14. The value of cos10^(@)-sin 10^(@) is

    Text Solution

    |

  15. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

    Text Solution

    |

  16. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  17. For -pi/2 lt theta lt pi/2 ,(sin theta + sin 2 theta)/(1+cos theta + c...

    Text Solution

    |

  18. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

    Text Solution

    |

  19. Prove that cos 36^(@) cos 72^(@) cos 108^(@) cos 144^(@)=1//16.

    Text Solution

    |

  20. The value oif the expressin (1+cospi/10)(1+cos(3pi)/10)(1+cos(7pi)/10)...

    Text Solution

    |