Home
Class 11
MATHS
If A+B=225^(@) then (cotA)/(1+cotA).(cot...

If `A+B=225^(@)` then `(cotA)/(1+cotA).(cotB)/(1+cotB)` = ………….

A

1

B

`-1`

C

0

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|33 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|19 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|122 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC, a^2+c^2=2002b^2 then (cotA+cotC)/(cotB) is equal to

Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

Prove that (cotA-cosA)/(cotA+cosA)=(cosecA-1)/(cosecA+1)

A and B are two events such that P(A) = (1)/(4), P(A | B)= (1)/(2) , P(B | A)= (2)/(3) , then P(B)= ………….

If A and B are two events such that P(A) = (1)/(3), P(B) = (1)/(4) and P(A cap B) = (1)/(5) , then P(A' | B') = ………..

In a triangle ABC, prove that (cot(A/2)+cot(B/2)+cot(C/2))/(cotA+cotB+cot(C))=((a+b+c)^2)/(a^2+b^2+c^2)

Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=sinA+cosA

Prove the following identities. where the angles involved are acute angles for which the expressions are defined. ((1+tan^(2)A)/(1+cot^(2)A))=((1-tanA)/(1-cotA))^(2)=tan^(2)A

If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""_(,)^(hat)bar(b))= …………..

For any triangle ABC, prove that : (b^(2)-c^(2))cotA+(c^(2)-a^(2))cotB+(a^(2)-b^(2))cotC=0 .

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -TEXTBOOK BASED MCQS
  1. If tantheta+sintheta=mandtantheta-sintheta=n then m^(2)-n^(2) = …………

    Text Solution

    |

  2. cos105^(@)+sin105^(@) = …………

    Text Solution

    |

  3. If A+B=225^(@) then (cotA)/(1+cotA).(cotB)/(1+cotB) = ………….

    Text Solution

    |

  4. If y=(1+tanA)(1-tanB)andA-B=(pi)/(4) then (y+1)^(y+1) = …………

    Text Solution

    |

  5. sin^(2)((pi)/(8))+sin^(2)((3pi)/(8))+sin^(2)((5pi)/(8))+sin^(2)((7pi)/...

    Text Solution

    |

  6. (cos(17^(@))+sin(17^(@)))/(cos(17^(@))-sin(17^(@)))= …………

    Text Solution

    |

  7. (sin(70^(@))+cos(40^(@)))/(cos(70^(@))+sin(40^(@)))= ..........

    Text Solution

    |

  8. sin(12^(@))sin(48^(@))sin(54^(@))= ………..

    Text Solution

    |

  9. The value of (1-tan^(2)(15^(@)))/(1+tan^(2)(15^(@))) is ………..

    Text Solution

    |

  10. The value of (1-tan^(2)15^(@))/(1+tan^(2)15^(@)) is

    Text Solution

    |

  11. cos^(2)(7(1^@)/(2))-cos^(2)(37(1^(@))/(2))= …………

    Text Solution

    |

  12. The value of cos(480^(@))sin(150^(@))+sin(600^(@))cos(390^(@)) is …………...

    Text Solution

    |

  13. cos((2pi)/(7))+cos((4pi)/(7))+cos((6pi)/(7))=

    Text Solution

    |

  14. If (tanx)/(1)=(tany)/(2)=(tanz)/(3)(ne0)andx+y+z=pi then which of the ...

    Text Solution

    |

  15. cos((pi)/(7))cos((2pi)/(7))cos((4pi)/(7))= ………..

    Text Solution

    |

  16. sin((pi)/(16))sin((3pi)/(16))sin((5pi)/(16))sin((7pi)/(16))= ………..

    Text Solution

    |

  17. cos^(2)((pi)/(12))+cos^(2)((3pi)/(12))+cos^(2)((5pi)/(12))= …………

    Text Solution

    |

  18. If A=125 and x=sinA^(@)+cosA^(@) then ………..

    Text Solution

    |

  19. The value of sqrt(3)cosec20^(@)-sec20^(@) is …………

    Text Solution

    |

  20. If cosalpha=-(4)/(5),(pi)/(2)ltalphaltpi then tan((alpha)/(2))= ……….

    Text Solution

    |