Home
Class 12
MATHS
The positive integer value of n gt 3 sat...

The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

A

7

B

3

C

`1/7`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES)|2 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

The positive integer value of n>3 satisfying the equation (1)/(sin((pi)/(n)))=(1)/(sin((2 pi)/(n)))+(1)/(sin((3 pi)/(n)))is

Evaluate sin((pi)/(n))+sin((3 pi)/(n))+sin((5 pi)/(n))+ to n terms.

2 ^ (n-1) sin ((pi) / (n)) sin ((2 pi) / (n)) ..... sin ((n-1) / (n)) pi equals:

The period of f(x)=sin((pi x)/(n-1))+cos((pi x)/(n)),n in Z,n>2

The number of positive integers which satisfy sin((pi)/(4n))+cos((pi)/(4n))=sqrt((n)/(2)) is -

sum_(n=1)^(20)[sin((2n pi)/(21))-i cos((2n pi)/(21))]=

Which of the following set of values of x satisfies the equation 2^(2sin^(2)x-3sin x+1)+2^(2-2sin^(2)x+3sin x)=9? (a) x=n pi+-(pi)/(6),n in I(b)x=n pi+-(pi)/(3),n in I(c)x=n pi,n in I(d)x=2n pi+(pi)/(2),n in I

The general values of theta satisfying the equation 2sin^(2)theta-3sin theta-2=0 is (n in Z).n pi+(-1)^(n)(5)/(6)( b) n pi+(-1)^(n)(pi)/(2)n pi+(-1)^(n)(5 pi)/(6) (d) n pi+(-1)^(n)(7 pi)/(6)

The least positive integer n for which ((1+i)/(1-i))^(n)=((2)/(pi))(sec^(-1)((1)/(x))+sin^(1)x)

The value of lim_(n rarr oo)(1)/(n^(2)){(sin^(3)pi)/(4n)+2(sin^(3)(2 pi))/(4n)+...+n(sin^(3)(n pi))/(4n)} is equal to

ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
  1. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

    Text Solution

    |

  2. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

    Text Solution

    |

  3. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

    Text Solution

    |

  4. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

    Text Solution

    |

  5. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  6. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

    Text Solution

    |

  7. The number of all possible values of theta,where 0 lt thetalt pi for w...

    Text Solution

    |

  8. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  9. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

    Text Solution

    |

  10. The general solution of sinx-cosx=sqrt(2), for any integer n is

    Text Solution

    |

  11. If tan2theta =1, then the general value of theta is

    Text Solution

    |

  12. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

    Text Solution

    |

  13. General value of theta obtained from the equation cos 2 theta = sin al...

    Text Solution

    |

  14. If sin 6 theta + sin 4 theta + sin 2 theta = 0 Then the general valu...

    Text Solution

    |

  15. General solution of tan 5 theta =

    Text Solution

    |

  16. The equation sinx cosx=2 has:

    Text Solution

    |

  17. The value of theta lying between 0 and pi/2 and satisfying the equati...

    Text Solution

    |

  18. The number of values of x in the interval [0, 5pi] satisfying the equa...

    Text Solution

    |

  19. Find the most general value of theta satisfyingn the equation tanthet...

    Text Solution

    |

  20. The smallest positive angle which satisfies the equation 2sin^2theta+s...

    Text Solution

    |