Home
Class 11
MATHS
Prove that, (cos3A+2cos5A+cos7A)/(cosA+2...

Prove that, `(cos3A+2cos5A+cos7A)/(cosA+2cos3A+cos5A)=cos2A-sin2A.tan3A`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|60 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|33 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 3|10 Videos

  • STRAIGHT LINES

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

Similar Questions

Explore conceptually related problems

Prove that, cos3A+cos5A+cos7A+cos15A=4cos4Acos5Acos6A .

Prove that, (cos7A+cos5A)/(sin7A-sin5A)=cotA

Prove that, cos5A=16cos^(5)A-20cos^(3)A+5cosA

Prove that, (cos7x+cos5x)/(sin7x-sin5x)=cotx

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

Prove that (cos 7x + cos 5x)/( sin 7x - sin 5x) = cot x

Prove that (sin5x+sin3x)/(cos5x+cos3x)=tan4x

Prove that, cos2xcos""(x)/(2)-cos3xcos""(9x)/(2)=sin5xsin""(5x)/(2) .

Prove that, sin5A=5cos^(4)AsinA-10cos^(2)Asin^(3)A+sin^(5)A

Prove that, (sin5x-2sin3x+sinx)/(cos5x-cosx)=tanx

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -PRACTICE WORK
  1. Prove that, cos18^(@)-sin18^(@)=sqrt(2)sin27^(@)

    Text Solution

    |

  2. If sintheta=nsin(theta+2alpha) then prove that, tan(theta+alpha)=(1+n)...

    Text Solution

    |

  3. Prove that, (cos3A+2cos5A+cos7A)/(cosA+2cos3A+cos5A)=cos2A-sin2A.tan3A

    Text Solution

    |

  4. Prove that, sinA+sinB+sinC-sin(A+B+C)= 4sin((A+B)/(2))sin((B+C)/(2))...

    Text Solution

    |

  5. Prove that, (cosA-cosB)^(2)+(sinA-sinB)^(2)=4sin^(2)((A-B)/(2))

    Text Solution

    |

  6. Prove that, cos80^(@)+cos40^(@)-cos20^(@)=0

    Text Solution

    |

  7. Prove that, sin51^(@)+cos81^(@)=cos21^(@)

    Text Solution

    |

  8. Prove that, sinA+sin2A+sin4A+sin5A= 4cos((A)/(2))cos((3A)/(2))sin3...

    Text Solution

    |

  9. Prove that, cos3A+cos5A+cos7A+cos15A=4cos4Acos5Acos6A.

    Text Solution

    |

  10. Prove that, tan3A.tan2A.tanA=tan3A-tan2A-tanA

    Text Solution

    |

  11. Prove that, tan25^(@).tan15^(@)+tan15^(@)tan50^(@)+tan25^(@)tan50^(@)=...

    Text Solution

    |

  12. Prove that, tan65^(@)=tan25^(@)+2tan40^(@).

    Text Solution

    |

  13. If A+B+C=kpi, k inZ Then prove that, tanA+tanB+tanC=tanA.tanB.tanC

    Text Solution

    |

  14. If A+B+C=kpi, k inZ Then prove that, cotB.cotC+cotC.cotA+cotA.cotB=1...

    Text Solution

    |

  15. Prove that, sin5A=5cos^(4)AsinA-10cos^(2)Asin^(3)A+sin^(5)A

    Text Solution

    |

  16. Prove that, sin^(3)A+sin^(3)((2pi)/(3)+A)+sin^(3)((4pi)/(3)+A)=-(3)/(4...

    Text Solution

    |

  17. Prove that, cos5A=16cos^(5)A-20cos^(3)A+5cosA

    Text Solution

    |

  18. Prove that, (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

    Text Solution

    |

  19. Prove that, sin4A=4sinAcos^(3)A-4cosAsin^(3)A

    Text Solution

    |

  20. If 2costheta=x+(1)/(x) then prove that, 2cos3theta=x^(3)+(1)/(x^(3)).

    Text Solution

    |