Home
Class 11
MATHS
Prove that: (cos(60^(@)-A)+sin(30^(@)-A)...

Prove that: `(cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A))=cotA`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3E|19 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3F|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3C|18 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Show that : cos^(2)60^(@)-sin^(2)60^(@)=-sin30^(@)

sin60^(@).cos30^(@)+cos30^(@)*sin60^(@)

Prove that: (cos30^(@)+sin60^(0))/(1+cos60^(@)+sin30^(@))=(sqrt(3))/(2)

Show that cos(60^@-A) cos(30^@-B)-sin(60^@-A)sin(30^@-B)=sin(A+B)

Prove that: sin(60^(@)-theta)cos(30^(@)+theta)+cos(60^(0)-theta)sin(30^(@)+theta)=1

((cos30^(@)+sin60^(@))/(1+cos60^(@)+sin30^(@)))=(sqrt(3))/(2)

"(1) "sin60^(@)cos30^(@)+sin30^(@)cos60^(@)

Verify that : sin60^(@)=2sin30^(@)cos30^(@)

(sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@)tan60^(@))

Evalutate : sin60^(@) cos 30^(@)+sin30^(@)cos 30^(@) .

NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3D
  1. Prove that: (cos8^(@)-sin8^(@))/(cos8^(@)+sin8^(@))=cot53^(@)

    Text Solution

    |

  2. If A-B=pi/4, then prove that: (1+tanA)

    Text Solution

    |

  3. Prove that: (cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A)...

    Text Solution

    |

  4. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2

    Text Solution

    |

  5. Prove that: (tan(pi/4+A)+tan(pi/4-A))/(tan(pi/4+A)-tan(pi/4-A))="cos...

    Text Solution

    |

  6. Prove that: (sin(A-B))/(cosAcosB)+(sin(B-C))/(cosBcosc)+(sin(C-A))/(...

    Text Solution

    |

  7. Prove that: sinAsin(B-C)+sinBsin(C-A)+sinCsin(A-B)=0

    Text Solution

    |

  8. Prove that: cot2Acot3A-cot3Acot5A-cot5Acot2A=1

    Text Solution

    |

  9. Prove that: cotA-cot2A="cosec"2A

    Text Solution

    |

  10. Prove that: cos^2A+cos^2B-2cosA\ cos B cos\ (A+B)=sin^2(A+B)

    Text Solution

    |

  11. If tanB=(nsinAcosA)/(1-nsin^(2)A), prove that: tan(A-B)=(1-n)tanA

    Text Solution

    |

  12. If 2tanB +cotB=tanA, prove that: 2tan(A-B)=cotB

    Text Solution

    |

  13. i) If tan (A+B) = n tan (A-B), prove that: (n+1)/(n-1) = (sin2A)/(sin...

    Text Solution

    |

  14. If A+B=225^(@), prove that: (cotA)/(1+cotA) xx (cotB)/(1+cotB) = 1/2

    Text Solution

    |

  15. Prove that the value of 5 costheta+3 cos(theta+pi/3) lies between -7 a...

    Text Solution

    |

  16. Prove that: sin2A+2sin4A+sin6A=4cos^(2)A.sin4A

    Text Solution

    |

  17. Prove that: (sin7A+sin5A+sin9A+sin3A)/(cos3A+cos5A+cos7A+cos9A)= tan...

    Text Solution

    |

  18. Prove that: sinA+sin2A+sin4A+sin5A= 4sin3A. cosA/2.cos(3A)/(2)

    Text Solution

    |

  19. Prove that: (cos5A.cos8A-cos12A.cos9A)/(sin8A.cos5A+cos12A. sin9A)=t...

    Text Solution

    |

  20. If cosA=kcos(A-2B), prove that: tan(A-B)tanB= (1-k)/(1+k)

    Text Solution

    |