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 ENGLISH|Exercise EXERCISES 3G|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3H|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3E|19 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

If theta-phi=pi/2, prove that, [(cos^2 theta,cos theta sin theta),(cos theta sin theta,sin^2 theta)] [(cos^2 phi,cos phi sin phi),(cos phi sin phi,sin^2 phi)]=0

If theta-phi=pi/2, prove that, [(cos^2 theta,cos theta sin theta),(cos theta sin theta,sin^2 theta)] [(cos^2 phi,cos phi sin phi),(cos phi sin phi,sin^2 phi)]=0

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

Prove that : cos^3 2theta+3cos2theta=4(cos^6theta-sin^6 theta)

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

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

Prove that cos^2 theta cosec theta+sin theta=cosec theta

Prove that 1-cos^(2)theta-sin^(2)theta=0

Prove that : (cos 4theta + cos 3theta + cos 2theta)/(sin 4theta + sin 3theta + sin 2theta) = cot 3theta

NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3F
  1. Prove that: tan(pi/4+A)+tan(pi/4-A) = 2sec2A

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Prove that: (1+cos. (pi)/8)(1+cos. (3pi)/8)(1+cos. (5pi)/8)(1+cos. (7...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that: (1+sinA-cosA)/(1+sinA+cosA) = tan(A/2)

    Text Solution

    |

  12. Prove that: tan(A/2)+ cot(A/2)=2 "cosec"A

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

  15. i) Prove that: cos^(3)2A+3cos2A = 4(cos^(6)A-sin^(6)A) ii) Prove t...

    Text Solution

    |

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

    Text Solution

    |

  17. Show that: sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=2costheta,0<theta<pi/8

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that cos^(3)x+cos^(3)((2pi)/3+x)+cos^(3)((2pi)/3-x)=3/4 cos 3x

    Text Solution

    |