Home
Class 11
MATHS
Find the general solution of the equatio...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Prove that sin alpha + sin (120^(@) + alpha) + sin(240^(@)+ alpha)=0

Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha .

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

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

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

If int sinx/sin(x-alpha) dx = Ax + B log sin(x - alpha) + c

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Solve 3 cos^2 theta - 2 sqrt3 sin theta cos theta - 3 sin^2 theta = 0

    Text Solution

    |

  2. Find the number of solution for sin 5theta cdot cos 3theta = sin 9thet...

    Text Solution

    |

  3. Find the general solution of the equation sin 3 alpha = 4 sin alpha si...

    Text Solution

    |

  4. A triangle ABC is such that sin (2A + B) = 1/2 . If A,B,C are in A.P.,...

    Text Solution

    |

  5. If cos^-1 x/a + cos^-1 y/b = alpha , then show x^2/a^2 + y^2/b^2 - (2x...

    Text Solution

    |

  6. If cos^-1 lambda + cos^-1 mu + cos^-1 gamma = 3 pi, then find the valu...

    Text Solution

    |

  7. If sum(i=1)^(2n) sin^-1xi = npi then find the value of sum(i = 1)^(2n)...

    Text Solution

    |

  8. If sin^-1x + sin^-1 y + sin^-1 z = pi, prove that x^4 + y^4 + z^4 + 4x...

    Text Solution

    |

  9. Find the value of tan{1/2 sin^-1((2x)/(1+x^2)) + 1/2cos^-1 ((1-y^2)/(1...

    Text Solution

    |

  10. If sin^-1x + sin^-1 y + sin^-1 z = (3 pi)/2, then find the value of su...

    Text Solution

    |

  11. Solve for x : If [sin^-1(cos^-1(sin^-1(tan^-1x)))]=1, where [cdot] d...

    Text Solution

    |

  12. If xgamma is given by, x(gamma + 1) = sqrt(1/2(1+xgamma) Then show :...

    Text Solution

    |

  13. Solve sin x + sqrt3 cos x = sqrt2

    Text Solution

    |

  14. Solve tan theta + tan 2theta + tan 3theta = 0

    Text Solution

    |

  15. The number of all possible triplets (a1,a2,a3) such that : a1 + a2cos2...

    Text Solution

    |

  16. Find the general solutions of: 2^(1 + abscosx + abs(cosx)^2 + abs(co...

    Text Solution

    |

  17. tan ((pip)/4) = cot((qpi)/4) if :

    Text Solution

    |

  18. The general solution of the equation : cos x cdot cos 6x = -1 is :

    Text Solution

    |

  19. Find the interval in which , cos^-1 x gt sin^-1 x.

    Text Solution

    |

  20. Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

    Text Solution

    |