Home
Class 11
MATHS
Prove that: sin6^0sin42^0sin 66^0sin 78^...

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

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 sin6^0sin42^0sin66^0sin78^0=1/(16)

Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

Prove that: sin38^0+sin 22^0=sin 82^0

Prove that: sin6^(@)sin42^(@)sin66^(@)sin78^(@)=1/16

Prove that: \ sin 10^0sin 50^0sin 60^0sin 70^0=(sqrt(3))/(16)

Prove that: tan6^0tan42^0tan66^0tan78^0=1.

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Show that cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If sin x+cos x=a , find the value of sin^6x+cos^6xdot

    Text Solution

    |

  15. If sin x+cos x=a , find the maximum and minimum value of a

    Text Solution

    |

  16. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

    Text Solution

    |

  17. Show that cos(pi/65)cos((2pi)/65)cos((4pi)/65)cos((8pi)/65)cos((16pi)/...

    Text Solution

    |

  18. For all real values of x ,cotx-2cot2x is equal to a.tan2x b. t a n x c...

    Text Solution

    |

  19. The value of 2tanpi/(10)+3secpi/(10)-\ 4cospi/(10) is 0 b. 1 c. sqrt(5...

    Text Solution

    |

  20. If in a Delta ABC, tanA+tanB+tanC=6 then cotA cotB cot C= a.6, b. 1, c...

    Text Solution

    |