Home
Class 11
MATHS
Prove the following: (cos4x + cos3x + co...

Prove the following: `(cos4x + cos3x + cos2x)/(sin4x + sin 3x + sin 2x)= cot 3x`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|67 Videos
  • STRAIGHT LINES

    JBD PUBLICATION|Exercise EXAMPLE|39 Videos

Similar Questions

Explore conceptually related problems

Prove the following : (cos 7x + cos 5x)/(sin 7x-sin 5x) =cot x .

Prove the following: cos 4x = 1 - 8sin^2 x cos^2 x

Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

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

Prove the following: (sin5x + sin 3x)/(cos5x + cos3x)=tan4x

Prove the following: cot 4x (sin 5x + sin 3x) = cot x (sin 5x -sin 3x)

Prove the following: (sin x -sin 3x)/(sin^2 x -cos^2 x)= 2sinx

Prove the following: (cos9x -cos5x)/(sin17x-sin3x)=-(sin2x)/(cos10x)

Prove the following: (sinx + sin3x)/(cosx + cos3x)=tan 2x

Prove the following: sin2 x + 2 sin 4x + sin 6x = 4 cos^2 x sin 4x

JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

    Text Solution

    |

  2. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

    Text Solution

    |

  3. Prove the following: (cos4x + cos3x + cos2x)/(sin4x + sin 3x + sin 2x)...

    Text Solution

    |

  4. Show that:(sin11x sinx+sin7x sin3x)/(cos11x sinx + cos7x sin3x)=tan8x

    Text Solution

    |

  5. Prove the following: sin2 x + 2 sin 4x + sin 6x = 4 cos^2 x sin 4x

    Text Solution

    |

  6. Find the general solution for each of the following equations: 2cos^2x...

    Text Solution

    |

  7. Find the general solution for each of the following equations: 4 sin^2...

    Text Solution

    |

  8. Find the general solution of the following equations: sec^2 2x = 1- ta...

    Text Solution

    |

  9. Find the general solution of the following trignometric equations: tan...

    Text Solution

    |

  10. Find the general solution of the following trignometric equations: tan...

    Text Solution

    |

  11. Prove that: (cosx-cosy)^2 +(sinx-siny)^2=4 sin^2frac (x-y)(2)

    Text Solution

    |

  12. If sinx=3/5, cosy=-12/13, where x and y both lie in second quadrant, f...

    Text Solution

    |

  13. Prove that: (cosx-cosy)^2 +(sinx-siny)^2=4 sin^2frac (x-y)(2)

    Text Solution

    |

  14. Show that:sin^2 pi/8 + sin^2 (3pi)/8+sin^2 (5pi)/8+sin^2 (7pi)/8=2

    Text Solution

    |

  15. Show that:[cos((3pi)/4)-cos((2pi)/3)]/[cos((3pi)/4)+cos((2pi)/3)]=3-2s...

    Text Solution

    |

  16. Prove that:cosA.cos(pi/3-A).cos(pi/3+A)=1/4cos3A

    Text Solution

    |

  17. Prove that:tan(x/2)=pmsqrt[(1-cosx)/(1+cosx)]

    Text Solution

    |

  18. Find the value of: cos(pi/8)

    Text Solution

    |

  19. If cosx=1/2(a+1/a), show that: cos2x=1/2(a^2+1/a^2)

    Text Solution

    |

  20. If cosx=1/2(a+1/a), show that: cos3x=1/2(a^3+1/a^3)

    Text Solution

    |