Home
Class 12
MATHS
sin3alpha = 4 sin alpha sin(x+alpha)sin(...

`sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)`

Text Solution

Verified by Experts

`npi +- pi/3`
Promotional Banner

Topper's Solved these Questions

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|5 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Integer Answer Type:|5 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|51 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type )|6 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the equation sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x - alpha) , given sin alpha ne 0 .

Prove the following identities: (sin alpha sin 11 alpha + sin 3 alpha sin 7 alpha)/(sin alpha cos 11 alpha + sin 3 alpha cos 7 alpha)= tan 8 alpha

int (sin (x-alpha))/(sin (x+alpha))dx

Prove that, 1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha) = 1/4 sin 4 alpha

Prove that, (cos alpha + sin alpha)/(cos alpha -sin alpha)-(cos alpha - sin alpha)/(cos alpha + sin alpha) = 2 tan 2 alpha

Prove that, (sin alpha + cos alpha)/(cos alpha-sin alpha)=tan2 alpha + sec 2 alpha

Show that the image of the point (h,k) with respect to the striaight line x cos alpha+ y sin alpha=p is the point (2 p cos alpha- h cos2 alpha- k sin 2 alpha, 2p sin alpha- h sin 2 alpha- k cos 2 alpha) .

If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"prove that",2 cos^(2) theta = 1 + sin 2 alpha.

CHHAYA PUBLICATION-GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS -Long Answer type questions
  1. 4 cosx + 5 sinx = 5, given tan51^(@) 21' = 5/4

    Text Solution

    |

  2. 1 + sin^(2) theta = 3sintheta costheta, given cot 18^(@) 26'=3

    Text Solution

    |

  3. tan theta + sec theta = sqrt(3)

    Text Solution

    |

  4. (1-tantheta)(1+sin 2theta) = (1+tantheta)

    Text Solution

    |

  5. (sec theta +1) = (2+sqrt(3))tantheta (0 lt theta lt 2pi)

    Text Solution

    |

  6. cottheta + cot(pi/4 + theta)=2

    Text Solution

    |

  7. cot^(3)theta + 6 "cosec"2theta - 8 "cosec"^(3)2theta=0

    Text Solution

    |

  8. tan^(2)2x + cot^(2)2x + 2tan 2x + 2 cot 2x=6

    Text Solution

    |

  9. sin^(3)x +sin^(3)(x-(2pi)/3) +sin^(3)(x+(2pi)/3)=0

    Text Solution

    |

  10. 2tanx = sin4x - 2sin2x cos2x tan^(2)x

    Text Solution

    |

  11. sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)

    Text Solution

    |

  12. cos3xcos^(3)x + sin3x sin^(3)x=0

    Text Solution

    |

  13. (i) Solve: cos(2x + 3y)=1/2, cos(3x+2y) = sqrt(3)/2 (ii) If 0 lt x l...

    Text Solution

    |

  14. Show that the following two equations represent the same set of angles...

    Text Solution

    |

  15. (i) If sin(pi/2costheta) = cos(pi/2 sin theta), show that, +- cos(thet...

    Text Solution

    |

  16. If cosecA = cosecB and secA = secB, then prove that, either A=B or the...

    Text Solution

    |

  17. If 16tan^(8)phi = cos 2theta + 3 costheta and 3 cos^(2)phi=2, then fin...

    Text Solution

    |

  18. Solve: 2(sinx -cos2x)-sin2x(1+2sinx) + 2cosx =0

    Text Solution

    |

  19. Prove that the system of equations x-y = (2pi)/3 and cosx + cosy =3/2 ...

    Text Solution

    |

  20. Solve: tanx + tany =1, x+y=pi/4

    Text Solution

    |