Home
Class 11
MATHS
Prove that: sinpi/7+sin(2pi)/(7) + sin...

Prove that:
`sinpi/7+sin(2pi)/(7) + sin(8pi)/7 + sin(9pi)/7=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3D|38 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3E|19 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3B|22 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Show that : sin pi/7 *sin 2pi/7* sin3pi/7 = sqrt7/8

Show that: sin((2pi)/7)+ sin ((4pi)/7) + sin( (8pi)/7) = sqrt7/2 .

Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin pi/7 * sin (3pi)/7 + sin (3pi)/7 * sin (5pi)/7 + sin (5pi)/7 * sin (pi)/7=f(cos (pi)/7). then find the value of f(2):

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

Prove that cos((2pi)/7) cos((4pi)/7) cos((8pi)/7) =1/8

show that sin (2 (pi) / (7)) + sin (4 (pi) / (7)) + sin (8 (pi) / (7)) = (sqrt (7)) / (2)

sin ((pi) / (7)) sin ((2 pi) / (7)) sin ((3 pi) / (7))

The value of 2 sin (pi/8) sin((2pi)/8) sin((3pi)/8) sin ((5pi)/8) sin ((6pi)/8) sin((7pi)/8) is :

Prove that "sin"(pi)/(14)"sin"(3pi)/(14)"sin"(5pi)/(14)"sin"(7pi)/(14)=(1)/(8)

Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8 = 3/2 .

NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3C
  1. If sinA=-3/5 and A lies in third quadrant, find the remaining trignome...

    Text Solution

    |

  2. If cosA=5/13 and A lies in fourth quadrant, find the remaining trigno...

    Text Solution

    |

  3. If tanA=-12/5 and A lies in second quadrant, find the remaining trigno...

    Text Solution

    |

  4. If cotA=4/3 and A lies in third quadrant, find the remaining trignomet...

    Text Solution

    |

  5. If secA=-17/8 and A lies in second quadrant, find the remaining trigno...

    Text Solution

    |

  6. If "cosec"A=5/4 and A lies in first quadrant, find the remaining trign...

    Text Solution

    |

  7. If "cosec"A=-sqrt(2) and (3pi)/(2) lt A lt 2pi, find the value of (tan...

    Text Solution

    |

  8. If secA=-2 and A lies in third quadrant, find the value of (4 cot^(2)A...

    Text Solution

    |

  9. Prove that: sqrt((1+cosA)/(1-cosA))={:("cosec"A+cotA, if 0ltAltpi),(...

    Text Solution

    |

  10. Evaluate the following: i) tan135^(@) ii) sec150^(@) iii) cot240...

    Text Solution

    |

  11. Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

    Text Solution

    |

  12. Prove that: (cos40^(@)+cos50^(@))/(sin40^(@)+sin50^(@))=1

    Text Solution

    |

  13. Prove that: "cosec"(270^(@)-A)"cosec"(270^(@)+A)+cot(270^(@)-A)cot(2...

    Text Solution

    |

  14. Prove that: sinpi/7+sin(2pi)/(7) + sin(8pi)/7 + sin(9pi)/7=0

    Text Solution

    |

  15. Evaluate the following: i) cos120^(@)sin390^(@)+cos330^(@)cos150^(@)...

    Text Solution

    |

  16. Prove that: (cos(pi+A)cos(-A))/(sin(pi-A).cos(pi/2+A))=cot^(2)A

    Text Solution

    |

  17. In equilibrium ABCD, prove thatL: i) sin(A+B)+sin(C+D)=0 ii) cos(A...

    Text Solution

    |

  18. Find the value of x: i) xcot(90^(@)+theta)+tan(90^(@)+theta)sintheta...

    Text Solution

    |