Home
Class 11
MATHS
Prove that : sin 2 theta= (2 tan theta...

Prove that :
`sin 2 theta= (2 tan theta)/(1+tan^2 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

Prove that : tan 2 theta= (2 tan theta)/(1-tan^2 theta) .

Prove that : cos 2 theta= (1-tan^2 theta)/(1+tan^2 theta) .

If theta = 30^@ , verify that tan 2 theta= (2 tan theta)/(1- tan^2 theta) .

Prove that : tan 4 theta= (4 tan theta(1-tan^2 theta)) /(1-6 tan^2 theta+ tan^4 theta) .

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

Prove that : tan 3 theta= (3 tan theta-tan^3 theta)/(1-3 tan^2 theta) .

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

Prove that : (sec theta-tan theta)/(sec theta+tan theta)= 1-2 sec theta tan theta+ 2 tan^2 theta .

Prove that : tan 3 theta tan 2 theta tan theta= tan3 theta-tan 2 theta-tan theta .

Solve cot theta = sin 2 theta by substituting sin 2 theta =( 2 tan theta )/( 1+tan^(2) theta ) and again by substituting sin 2 theta = 2 sin theta * cos theta and check whether the two answer are same or not .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : sin 2 theta= (2 tan theta)/(1+tan^2 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

    |