Home
Class 11
MATHS
Prove that: (sin7A-2sin4A+sinA)/(cos7A...

Prove that:
`(sin7A-2sin4A+sinA)/(cos7A-2cos4A+cosA)=tan4A`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3F|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3G|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3D|38 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Prove that: (sin(A+B)-2sinA+sin(A-B))/(cos(A+B)-2cosA+cos(A-B))= tanA

Prove that: (sinA - 2sin^(3)A)/(2 cos^(3)A - cosA) = tan A

Prove that (sinA+sin2A+sin4A+sin5A)/(cos A+cos2A+cos 4A+cos5A)=tan3A .

(sin7A-sin5A)/(cos7A+cos5A)=tan A

Prove that: (sin3Acos4A-sinAcos2A)/(sin4AsinA+cos6AcosA)=tan2A

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

Prove that a) (sin3A + sinA)sinA+(cos3A-cosA) cosA=0 b) cos20^(@)cos40^(@)cos80^(@)=1/8 c) (sin8thetacostheta-sin6thetacos3theta)/(cos2thetacostheta-sin3thetasin4theta) = tan2theta

Prove that: (sin7A+sin5A+sin9A+sin3A)/(cos3A+cos5A+cos7A+cos9A)= tan6A

Prove that: (sin A+sin3A+sin5A+sin7A)/(cos A+cos3A+cos5A+cos7A)=tan4A

Prove that: (sin2A sin3A-sin4A sin5A+sin3A sin6A)/(cos2A cos3A-cos4A cos5A+cos3A cos6A)=tan A tan4A

NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3E
  1. Express each of the following as a sum or difference of sine and cosin...

    Text Solution

    |

  2. Evaluate: sin521/2^(@) cos71/2^(@)

    Text Solution

    |

  3. Prove that: cos(45^(@)+A) cos(45^(2)-A)=1/2 cos2A

    Text Solution

    |

  4. Prove that: cosA. Cos(60^(@)+A)cos(60^(2)-A)=1/4 cos3A

    Text Solution

    |

  5. Prove that: sinA. Sin(60^(2)+A).sin(120^(@)+A)=1/4sin3A

    Text Solution

    |

  6. Prove that: tan(pi/3-A).tan(pi/3+A)= (2cos2A+1)/(2cos2A-1)

    Text Solution

    |

  7. Prove that: i) sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3/16 ii) sin10...

    Text Solution

    |

  8. Prove that: i) cos10^(@)cos30^(@)cos50^(@)cos70^(@)=3/16 ii) cos20...

    Text Solution

    |

  9. Prove that tan20^0tan40^0tan80^0=tan60^0

    Text Solution

    |

  10. Prove that: tan(A+B)/(2) + tan(A-B)/(2) = (2sinA)/(cosA+cosB)

    Text Solution

    |

  11. Prove that: i) sin50^(@)-sin70^(@)+sin10^(@)=0 ii) sin(60^(@)+A)+s...

    Text Solution

    |

  12. Prove that: i) sin(5pi)/(18) - cos(4pi)/(9) = sqrt(3)sinpi/9 ii) c...

    Text Solution

    |

  13. Prove that: (sinA+sinB)/(sinA-sinB) = tan(A+B)/(2). Cot(A-B)/(2)

    Text Solution

    |

  14. Prove that: (sin9A-sin7A)/(cos7A-cos9A) = cot8A

    Text Solution

    |

  15. Prove that: (cos2A+cos3A+cos4A)/(sin2A+sin3A+sin4A)= cot3A

    Text Solution

    |

  16. Prove that: (sin7A-2sin4A+sinA)/(cos7A-2cos4A+cosA)=tan4A

    Text Solution

    |

  17. Prove that: (sin(A+B)-2sinA+sin(A-B))/(cos(A+B)-2cosA+cos(A-B))= tan...

    Text Solution

    |

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

    Text Solution

    |

  19. Prove that: cos2theta.costheta/2-cos3theta.cos(9theta)/(2)=sin5theta...

    Text Solution

    |