Home
Class 11
MATHS
Prove that: \ sqrt(2+sqrt(2+2cos4theta))...

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

Text Solution

AI Generated Solution

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

Show that sqrt[2+sqrt[2+2cos4theta]]=2costheta

Show that: sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=2costheta,0

Prove that sqrt ( 2 + sqrt (2 + sqrt (2 + 2 cos 8 theta))) = 2 cos theta, where theta in [ (-pi)/(8), (pi)/(8)]

Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)(2cos2^2theta-1) ...(2cos2^(n-1)theta-1)

Prove that: sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

Find the Value of \ sqrt(2+sqrt(2+2cos4theta))

Prove that : sqrt((1+costheta)/(1-costheta))="cosec"theta+cottheta

Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costheta))=2cosectheta

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

If pi/2

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Prove that: (sin2theta)/(1-cos2theta)=cottheta

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Prove that: sin^2(pi/8)+sin^2((3pi)/8)+sin^2((5pi)/8)+sin^2((7pi)/8)=2

    Text Solution

    |

  9. Prove that: (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2\ \ ((alph...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Prove that : (sin3A+sin A)sin A+(cos3A-cos A)cos A=0

    Text Solution

    |

  13. Prove that:cos^2(pi/4-theta)-sin^2(pi/4-theta)=sin2theta

    Text Solution

    |

  14. Prove that: cos4A=1-8cos^2\ A+8cos^4\ A

    Text Solution

    |

  15. Prove that 3(sinx-cosx)^4+4(sin^6x+cos^6x)+6(sinx+cosx)^2=13

    Text Solution

    |

  16. cos^6A-sin^6A=cos2A(1-1/4sin^2 2A)

    Text Solution

    |

  17. Prove that: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .

    Text Solution

    |

  18. Prove that: cot^2A-tan^2A=4\ cot2A cos e c2A

    Text Solution

    |

  19. sin4A=4sinAcos^3A-4cosAsin^3A

    Text Solution

    |

  20. Prove that: \ sin3x+sin2x-sin x=4sin xcos(x/2)cos((3x)/2)

    Text Solution

    |