Home
Class 11
MATHS
Prove that: 1+cos^2 2theta=2(cos^4theta+...

Prove that: `1+cos^2 2theta=2(cos^4theta+sin^4theta)`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3G|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3H|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3E|19 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Prove that: 1+cos^(2)2 theta=2(cos^(4)theta+sin^(4)theta)

Prove that 2cos^(2)theta-cos^(4)theta+sin^(4)theta=1

Prove that-: cos^4theta/(1-sin^4theta)=(1-sin^2theta)/(1+sin^2theta)

Prove that : cos^(4)theta - cos^(2)theta = sin^(4)theta - sin^(2) theta

Prove that cos^4 theta-sin^4 theta=1-2sin^2 theta

Prove that : sin^(4)theta-cos^(4)theta=2sin^(2)theta-1

Prove that (sin^(4)theta-cos^(4)theta)/(sin^(2)theta-cos^(2)theta)=1

Prove that (3 + cos 4theta) cos 2theta = 4(cos^(8)theta - sin^(8)theta) .

Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta

NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3F
  1. prove that (sin2A)/(1-cos2A)=cotA

    Text Solution

    |

  2. Prove that: (cos2A)/(1+sin2A) = tan(pi/4-A)

    Text Solution

    |

  3. Prove that: tan(pi/4+A)+tan(pi/4-A) = 2sec2A

    Text Solution

    |

  4. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

    Text Solution

    |

  5. Prove that: sin^(2)A+sin^(2)(60^(@)+A)+sin^(2)(A-60^(@))=3/2

    Text Solution

    |

  6. i) Prove that: (1-sin2A)/(1+sin2A) = tan^(2)(pi/4-A) ii) If costheta...

    Text Solution

    |

  7. Prove that: sqrt(3)"cosec"20^(@)-sec20^(@)=4

    Text Solution

    |

  8. Evaluate the following: i) sin\ pi/12 ii) sin\ pi/8, iii) cos\ pi/...

    Text Solution

    |

  9. Prove that: "cot"pi/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

    Text Solution

    |

  10. If sinA = -5/13 and pi lt lt (3pi)/(2), find the values of the followi...

    Text Solution

    |

  11. If tanA=-3/4 and pi/2 lt A lt pi, find the values of the following: ...

    Text Solution

    |

  12. Prove that: (1+sinA-cosA)/(1+sinA+cosA) = tanA/2

    Text Solution

    |

  13. Prove that: tanA/2+ cotA/2=2 "cosec"A

    Text Solution

    |

  14. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

    Text Solution

    |

  15. Prove that: 1+cos^2 2theta=2(cos^4theta+sin^4theta)

    Text Solution

    |

  16. Prove that: tanA(1+sec2A)=tan2A

    Text Solution

    |

  17. Prove that: sqrt(2+sqrt(2+sqrt(2+2cos8A)))=2cosA

    Text Solution

    |

  18. Prove that: cos6A=32cos^(6)A-48cos^(4)A+18cos^(2)A-1

    Text Solution

    |

  19. Prove that: cos5A=16cos^(5)A-20cos^(3)A+5cosA

    Text Solution

    |

  20. Prove that: cos^(3)A + cos^(3)((2pi)/(3)+A) + cos^(3)((4pi)/3+A) = 3/...

    Text Solution

    |