Home
Class 11
MATHS
Prove that: tan4theta=(4t a ntheta(1-tan...

Prove that: `tan4theta=(4t a ntheta(1-tan^2theta))/(1-6tan^2theta+tan^4theta)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prove that : tan 4 theta = (4 tan theta - 4 tan^3 theta)/(1-6 tan^2 theta + tan^4 theta) .

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

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

Prove that: tan 8theta - tan 6theta - tan 2theta = tan 8theta \ tan 6theta \ tan 2theta .

Prove that tan8theta - tan6theta - tan2theta= tan8theta tan6theta tan2theta

Prove that : sec^(4)theta-tan^(4)theta=1+2tan^(2)theta

Solve: tan4 theta = tan2theta

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Show that: If theta = (2pi)/7 , prove that tan theta tan2theta + tan2thetatan4theta + tan4thetatantheta = -7

Prove that: (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Express each of the following as the sum or difference of sines and ...

    Text Solution

    |

  2. Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.

    Text Solution

    |

  3. Prove that: tan4theta=(4t a ntheta(1-tan^2theta))/(1-6tan^2theta+tan^4...

    Text Solution

    |

  4. If tanx=3/4, pi < x < (3pi)/2 , find the values of sinx/2, cosx/2 and...

    Text Solution

    |

  5. Prove that : cos 20^0cos 40^0cos 60^0cos 80^0=1/(16)

    Text Solution

    |

  6. Prove that : cos(pi/7)cos((2pi)/7) cos((3pi)/7)=1/8

    Text Solution

    |

  7. Show that: sin 50^0cos95^0=(sqrt(2)sin35^0-1)/(2sqrt(2))

    Text Solution

    |

  8. Prove that cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15...

    Text Solution

    |

  9. sin(pi/18)*sin(5pi/18)*sin(7pi/18)

    Text Solution

    |

  10. Prove:cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)co...

    Text Solution

    |

  11. If sinalpha+sinbeta=a and cosalpha+cosbeta=b prove that: cos(alpha-bet...

    Text Solution

    |

  12. If sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)=

    Text Solution

    |

  13. Prove that sqrt((1-cos2theta)/(1+cos2theta))=tantheta where tantheta>0

    Text Solution

    |

  14. Prove that: (sin2theta)/(1-cos2theta)=cottheta

    Text Solution

    |

  15. Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

    Text Solution

    |

  16. Prove that: \ sqrt(2+sqrt(2+2cos4theta))=2costheta

    Text Solution

    |

  17. Prove :(1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta

    Text Solution

    |

  18. Prove that :(sintheta +sin2theta)/(1+costheta+cos2theta)=tantheta

    Text Solution

    |

  19. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

    Text Solution

    |

  20. Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

    Text Solution

    |