Home
Class 11
MATHS
Prove that ; 4 sin 27^@=(5+sqrt(5))-s...

Prove that ; `4 sin 27^@=(5+sqrt(5))-sqrt((3-sqrt(5)))` we have

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 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

3sqrt(2^(5))sqrt(4^(9))sqrt(8)=

2sqrt5 - sqrt5 = sqrt5

(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) Is equal to :

Find sqrt(2+3sqrt(-5)) + sqrt(2-3sqrt(-5))

Prove that: sin36^0=(sqrt(10-2sqrt(5)))/4 .

Prove that: sin18^0=(sqrt(5)-1)/4 .

Prove that : 4(sin^(-1)(1/sqrt(10)) + cos^(-1)( 2/sqrt(5)))=pi

a=9-4sqrt(5) , sqrt(a)-1/sqrt(a)=?

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Prove that: sin 12^0sin 48^0sin 54^0=1/8dot

    Text Solution

    |

  2. The value oif the expressin (1+cospi/10)(1+cos(3pi)/10)(1+cos(7pi)/10)...

    Text Solution

    |

  3. Prove that ; 4 sin 27^@=(5+sqrt(5))-sqrt((3-sqrt(5))) we have

    Text Solution

    |

  4. Prove that : sin^2(72^@) - sin^2 (60^@) = (sqrt5 - 1)/8

    Text Solution

    |

  5. Prove that: sin^2 24^0-sin^2 6^0=(sqrt(5)-1)/8

    Text Solution

    |

  6. Prove that: sin^2 42^0-cos^2 78^0=(sqrt(5)+1)/8

    Text Solution

    |

  7. Prove that: cos 78^0cos 42^0cos 36^0=1/8

    Text Solution

    |

  8. Show that cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/1...

    Text Solution

    |

  9. Prove that cos6^@ . cos42^@. cos66^@ cos78^@= 1/16

    Text Solution

    |

  10. Prove that: sin6^0sin42^0sin 66^0sin 78^0=1/(16)

    Text Solution

    |

  11. Prove that: sin36^0s in 72^0s in 108^0s in 144^0=5/(16)dot

    Text Solution

    |

  12. If cos4x=1+ksin^2x cos^2x , then write the value of kdot

    Text Solution

    |

  13. If tanx/2=m/n ,\ then write the the value of msinx+n\ cos xdot

    Text Solution

    |

  14. If pi/2 < theta < (3pi)/2 then write the value of sqrt((1+cos2theta)...

    Text Solution

    |

  15. If pi/2<theta<pi,then write the value of sqrt(2+sqrt(2+2cos2theta)) in...

    Text Solution

    |

  16. If pi/2<theta<pi , then write the value of sqrt((1-cos2theta)/(1+cos2t...

    Text Solution

    |

  17. If pi<theta<(3pi)/2 , then write the value of sqrt((1-cos2theta)/(1+co...

    Text Solution

    |

  18. Write the value of cos^2 76^@+cos^2 16^@- cos76^@ cos16^@

    Text Solution

    |

  19. If (pi/4)< theta <(pi/2),then write the value of sqrt(1-sin2theta)

    Text Solution

    |

  20. Prove that: cos(pi/7)cos(2pi/7)cos(4pi/7)=-1/8,

    Text Solution

    |