Home
Class 11
MATHS
Prove that : sin 3 theta=3 sin theta-4...

Prove that :
`sin 3 theta=3 sin theta-4 sin^3 theta`.

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

If theta be any real, prove that : sin5 theta= 5sin theta-20 sin^3 theta+16 sin^5 theta .

Prove that : sin 2 theta= 2sin theta cos theta .

Prove that : sin^8 theta- cos^8 theta= (sin^2 theta- cos^2 theta)(1-2 sin^2 theta cos^2 theta) .

Show that the equations of the normal at any point theta on the curve x = 3 cos theta - cos^3 theta, y = 3 sin theta - sin ^3 theta is 4(y cos^3 theta - x sin^3 theta) = 3 sin 4 theta

Prove by Principle of Mathematical Induction, that : sin theta + sin 2 theta + sin 3 theta + ........ + sin n theta= (sin (n+1)theta/2 sin frac (n theta)(2))/(sin frac (theta)(2)) for all n in N.

Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 cos^2 theta-1 .

Find all the value of theta satisfying the equation , sin 7 theta = sin theta + sin 3 theta such that 0 le theta le pi

Prove that : tan^2 theta -sin^2 theta =tan^2 theta sin^2 theta .

If sin theta-sqrt(6)costheta=sqrt(7)costheta. Prove that cos theta-sqrt6 sin theta-sqrt7 sin theta=0.

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 : sin 3 theta=3 sin theta-4 sin^3 theta.

    Text Solution

    |

  2. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  3. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  4. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  5. Find the radian measures corresponding to the following degree measure...

    Text Solution

    |

  6. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  7. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  8. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  9. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  10. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  11. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  12. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  13. The angles of a triangle are3x^@, ((4x)/3)^g and (2 pi x)/75 radians. ...

    Text Solution

    |

  14. Express the radians the fourth angle of a quadrilateral which has thre...

    Text Solution

    |

  15. The sum of two angles is 80 grades and their difference is 18^@. Find ...

    Text Solution

    |

  16. The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in...

    Text Solution

    |

  17. The vertical angle of an isosceles triangle is 2/3 rd of each of its b...

    Text Solution

    |

  18. In a right-angled triangle, the difference between two acute angles is...

    Text Solution

    |

  19. The wheel of a carriage is 91 cm in diameter and makes 5 revolutions p...

    Text Solution

    |

  20. A wheel makes 360 revolutions in one minute. Through how many radians ...

    Text Solution

    |

  21. Find the length of the arc of a circle of radius 5 cm subtending an an...

    Text Solution

    |