Home
Class 11
MATHS
Prove that 1+tanA Tan(A/2)=tanA cot(A/2)...

Prove that `1+tanA Tan(A/2)=tanA cot(A/2)-1=secA`.

A

sin A

B

cos A

C

csc A

D

sec A

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Prove that: tanA(1+sec2A)=tan2A

Prove that: cot2A + tanA= cotA - cot 2A

Prove that 1+tan^2A/(1+secA)=secA

If A + B + C = π , Prove that tanB tanC+tanC tanA+tanA tanB=1+secA . sec B . secC.

Prove that: (sin2A)/(1+cos2A)=tanA

Prove that: tanA/2+ cotA/2=2 "cosec"A

Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

Prove that: " "( tan A + sinA)/(tanA - sinA) = (sec A +1)/(secA -1)

Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

Prove that: (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. sin (A+B) * sin (A-B)=

    Text Solution

    |

  2. cos(A+B)*cos(A-B)= (a)sin^2A-cos^2B (b)cos^2A-sin^2B (c)sin^2A-sin^2B ...

    Text Solution

    |

  3. Prove that 1+tanA Tan(A/2)=tanA cot(A/2)-1=secA.

    Text Solution

    |

  4. If : (tan 3 A+tan A)/(tan 3A - tanA)=(sin(mA)/(sin(nA))) then (m,n)= (...

    Text Solution

    |

  5. If : x*cos A *cos B= sin (A-B), y*cos B *cos C= sin (B-C), z*cos C...

    Text Solution

    |

  6. If : x=sin(B-C) * cos A, y=sin(C-A) * cos B, z=sin(A-B) * cos C, ...

    Text Solution

    |

  7. If :cos x pm sin x =sqrt(2)*cos(x pm alpha), "then" : alpha=

    Text Solution

    |

  8. If :cos x pm sin x =sqrt(2)*cos(x pm alpha), "then" : alpha= A) 45^(@)...

    Text Solution

    |

  9. tan 20^(@) + tan 25^(@) +tan 20^@ tan25^(@)=

    Text Solution

    |

  10. tan 40^(@) +2* tan 10^(@) = A)tan30^(@) B)tan50^(@) C)tan70^(@) D)tan9...

    Text Solution

    |

  11. If : sin(x+(pi)/(3)) = cos (x-(pi)/(6)),"then" : tan x = A)1//sqrt3B)...

    Text Solution

    |

  12. If : sin (theta - 30^(@))+cos (theta - 60^(@))=k * sin theta, "then" :...

    Text Solution

    |

  13. " cos x + cos " (120^(@) -x ) + " cos "(120^(@) +x)=0

    Text Solution

    |

  14. tan(45^(@)+A)tan(45^(@)-A)=1

    Text Solution

    |

  15. tan 75^(@)+ tan 15^(@)= A)1B)2C)3D)4

    Text Solution

    |

  16. 1+tan theta * tan 2 theta= A)2 csc thetaB)sec 2 theta C)2 sec thetaD) ...

    Text Solution

    |

  17. tan 2 theta * cot theta -1= A)2 csc thetaB)sec 2 theta C)2 sec theta D...

    Text Solution

    |

  18. If : A+B = 90^(@),and tanA=3/4 "then" : cot B =

    Text Solution

    |

  19. If : sin (theta + phi) = 2 sin (theta - phi), "then" : tan theta = A)t...

    Text Solution

    |

  20. If sin(x-60^@)=2.cos(x-30^@), then : tanx=.....

    Text Solution

    |