Home
Class 11
MATHS
Prove the following: cot 4x (sin 5x + si...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Prove the following : (sin 5x + sin3x)/(cos 5x + cos 3x)= tan 4x .

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

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

Prove the following: sin^2 6x-sin^2 4x = sin 2x sin 10x

Prove the following : (sinx +sin3x)/(cos x + cos 3x)= tan 2x .

Prove the following : (sin 5x -2sin 3x+sinx)/(cos 5x-cos x)= tan x .

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

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that: (cos x + cos y)^2 + (sin x -sin y)^2 = 4 cos^2frac (x+y)(2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha+beta=pi/2, then the maximum value of cosalpha cos beta is:

    Text Solution

    |

  5. If cos (theta + 2alpha) = m cos theta, prove that : cot alpha = (1+m)/...

    Text Solution

    |

  6. If (sin beta)/(sin(2 alpha+ beta))=m/n, prove that : cot (alpha+ beta)...

    Text Solution

    |

  7. If (sin (theta+alpha))/(cos (theta-alpha))= (1-m)/(1+m), prove that : ...

    Text Solution

    |

  8. Prove that : sin (y + z-x) + sin (z + x-y) + sin (x +y-z)-sin (x+y+z)...

    Text Solution

    |

  9. If cos (A + B) sin (C- D) = cos (A- B) sin (C+D), show that : tan A t...

    Text Solution

    |

  10. Prove that : (sinx)/(1+cos x)= tan frac (x)(2).

    Text Solution

    |

  11. Prove that : cot 2A= (cot^2 A-1)/(2 cot A).

    Text Solution

    |

  12. Prove that : (1-sin2x)/(1+sin2x)= tan^2 (pi/4-x).

    Text Solution

    |

  13. Find tan 15^@ and hence show that tan 15^@+ cot 15^@ = 4.

    Text Solution

    |

  14. Prove that : tan 75^@+ cot 75^@=4.

    Text Solution

    |

  15. Given cos 45^@=1/sqrt2, find the value of cos 22 1^@/2.

    Text Solution

    |

  16. Prove that : (1+sin 2 theta-cos 2 theta)/(1+sin 2 theta+ cos 2 theta...

    Text Solution

    |

  17. Prove that : 2 tan 2x= (cos x+sinx)/(cos x-sinx)-(cos x- sinx)/(cos ...

    Text Solution

    |

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

    Text Solution

    |

  19. Prove that : sin 4A=4 sinA cos^3 A- 4 cosA sin^3 A.

    Text Solution

    |

  20. Prove that : sin3A+ sin 2A- sinA= 4 sinA cos frac (A)(2) cos frac (3...

    Text Solution

    |