Home
Class 11
MATHS
Prove that : cos2 theta= cos^2 theta-s...

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

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 : cos4 theta=1-8 sin^2 theta cos^2 theta =1-8 cos^2 theta +8 cos^4 theta .

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

Prove the following identity : cos^4 theta- sin^4 theta= cos^2 theta-sin^2 theta= 2 cos^2 theta-1=1-2 sin^2 theta .

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

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

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

Solve sin^(2) theta gt cos^(2) theta .

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

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 ...

    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

    |