Home
Class 11
MATHS
If none of the denominators is zero, pro...

If none of the denominators is zero, prove that.
`((cosA+cosB)/(sinA-sinB))^(n)+((sinA-sinB)/(cosA+cosB))^(n) = {(2cot^(n)((A-B)/(2)), if n "is even"),(0, if n "is odd"):}`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(F)|20 Videos

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(D)|44 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

Similar Questions

Explore conceptually related problems

((cosA+cosB)/(sinA-sinB))^(2012)+((sinA+sinB)/(cosA-cosB))^(2012)=

A+C=2B then (cosC-cosA)/(sinA-sinC)=

If f: N to W is such that f(n) = {{:(n/2, "if n is even"),(0,"if n is odd"):} , then f is

Prove that C_(0)^(2)-C_(1)^(2)+C_(2)^(2)-C_(3)^(2)+….+(-1)^(n).C_(n)^(2)={{:((-1)^(n//2)""^(n)C_(n//2)",","if n is even"),(" "0" ,","if n is odd"):}

If sinA+sinB=l and cosA-cosA-cosB=m , then cos(A-B)=

If A+B+C=180^(@) then prove that the following: (cosA)/(sinBsinC)+(cosB)/(sinCsinA)+(cosC)/(sinAsinB)=2

If A,B,C are angles in a triangle , then prove that cosA+cosB+cosC=1+4sin. (A)/(2)sin. (B)/(2) sin. (C)/(2)

If n is a positive integer prove that (1+i)^(2n)+(1-i)^(2n)=2^(n+1)cos((n pi)/(2))

If |{:(cos(A+B),-sin(A+B),cos2B),(sinA,cosA,sinB),(-cosA,sinA,cosB):}|=0 then B =

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(E)
  1. Prove that sin50^(@)-sin70^(@)+sin10^(@)=0

    Text Solution

    |

  2. Prove that (sin70^(@)-cos40^(@))/(cos50^(@)-sin20^(@)) = 1/(sqrt(3)).

    Text Solution

    |

  3. cos 55^circ + cos 65^circ +cos175^circ =0అని రుజువు చేయండి.

    Text Solution

    |

  4. Prove that 4(cos66^(@)+sin84^(@)) = sqrt(3) + sqrt(15).

    Text Solution

    |

  5. Prove that cos20^(@)cos40^(@)-sin5^(@)sin25^(@)=(sqrt(3)+1)/4

    Text Solution

    |

  6. Prove that cos48^@.cos12^@=(3+sqrt5)/8.

    Text Solution

    |

  7. Prove that cos theta + cos[(2pi)/3 + theta] + cos [(4pi)/(3) + theta] ...

    Text Solution

    |

  8. If sin x+siny=1/4,cos x+cosy=1/3 then tan((x+y)/2)=

    Text Solution

    |

  9. sin x + sin y = 1/4, cos x+ cos y = 1/3అయిలే ii) cot(x +y) = 7/24 అని ...

    Text Solution

    |

  10. Prove that 4cos12^(@)cos48^(@)cos72^(@)=cos36^(@).

    Text Solution

    |

  11. sin10^(@)+sin20^(@)+sin40^(@)+sin50^(@)-sin70^(@)-sin80^(@)=

    Text Solution

    |

  12. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

    Text Solution

    |

  13. If none of the denominators is zero, prove that. ((cosA+cosB)/(sinA-...

    Text Solution

    |

  14. If sinA=sinBandcoA=cosB then A =

    Text Solution

    |

  15. ( sin(n+1) alpha - sin (n-1)alpha )/( cos (n+1) alpha + 2 cos n alpha ...

    Text Solution

    |

  16. If sec(theta+alpha)+sec(theta-alpha)=2sec theta and cos alpha!=1, prov...

    Text Solution

    |

  17. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

    Text Solution

    |

  18. If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2p...

    Text Solution

    |

  19. If m sin B= n sin (2A+B) then show that (m+n)tanA=(m-n)tan(A+B)

    Text Solution

    |

  20. tan(A +B) = lambda tan(A-B) అయితే (lambda +1) sin 2B =(lambda -1)sin2A...

    Text Solution

    |