Home
Class 12
MATHS
sum(k=0)^5(1)/(sin[(K+1)theta]sin[(K+2)t...

` sum_(k=0)^5(1)/(sin[(K+1)theta]sin[(K+2)theta])` can be equal to

A

`(cot2theta-cot7theta)/(sin theta)`

B

`(tan2theta-tan7theta)/(sin2theta)`

C

a positive number

D

a negative number

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If (sin3theta)/(sintheta)=(11)/(25)\ t h e ntan(theta/2) can have the value equal to- a. 2 b. 1/2 c. -2 d. -1/2

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

If the points (-2, 0), (-1,(1)/(sqrt(3))) and (cos theta, sin theta) are collinear, then the number of value of theta in [0, 2pi] is

The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0 has exactly three roots in (0,2pi) , then lambda can be equal to 0 (b) 2 (c) 1 (d) -1

Q. The value of is equal sum_(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+(kpi)/6))) is equal

cos2thetacos2phi+sin^(2)(theta-phi)-sin^(2)(theta+phi) is equal to

If Delta_r=|[2^(r-1),1/(r(r+1)),sin rtheta],[x, y, z],[2^n-1, n/(n+1),((sin)(n+1)/2 theta (sin) n/2 theta) /(sintheta/2)]|, then sum_(r=1)^n Delta_r is equal to

If sin theta=-(1)/(2) and tan theta=(1)/sqrt(3) then theta is equal to :-

Prove that cos theta cos 2theta cos2^2 theta … cos 2^(n-1) theta = (sin2^n theta)/(2^n.sin theta) , for all n in N

If cos^(4)theta+p, sin^(4)theta+p are the roots of the equation x^(2)+a(2x+1)=0 and cos^(2)theta+q,sin^(2)theta+q are the roots of the equation x^(2)+4x+2=0 then a is equal to

ALLEN -TEST PAPER-MATHS
  1. Find all the value of m for which the equation sin^2x-(m-3) sinx +m=0 ...

    Text Solution

    |

  2. If x(1),x(2) are two solutions of x^(lnx^(2) )=e^(18) then product o...

    Text Solution

    |

  3. sum(k=0)^5(1)/(sin[(K+1)theta]sin[(K+2)theta]) can be equal to

    Text Solution

    |

  4. Ifx^(2)+y^(2)=4 and a^(2)+b^(2)=9 then

    Text Solution

    |

  5. If both roots are less than 3 then 'a' belongs to

    Text Solution

    |

  6. If one root is greater then 3 and other root is less than 1 'a' belong...

    Text Solution

    |

  7. Sum of maximum and minimum values of f(x) is

    Text Solution

    |

  8. Complete set of values of g(x) is

    Text Solution

    |

  9. If logx, logsqrt(6-2x), log(x-1) are in A.P .then value of (x)/(3) is

    Text Solution

    |

  10. The value of (sin 12^(@) . sin 24^(@) sin 48^(@). sin84^(@)) is

    Text Solution

    |

  11. The sum of n terms of an A.P is 715 .If first term is increased by 1, ...

    Text Solution

    |

  12. The value of k for which equations x^(2)+(2k-6)x+7-3k=0 and x^(2)+(2k-...

    Text Solution

    |

  13. If E= ab sin x+bsqrt(1-a^(2)) cos x+c " where" |a|lt 1" and for " a =(...

    Text Solution

    |

  14. The least integral value of lambda for which the expression (lambdax^(...

    Text Solution

    |

  15. If alpha,beta,gamma are roots of x^(3)-5x+4=0 then value of (alpha^3+b...

    Text Solution

    |

  16. The value of | sum(r=0)^(10) cos ((rpi)/(3))|is

    Text Solution

    |

  17. |{:(,"List-I(Species)",,"List-II(Spin only Magnetic Moment)"),((P),Mn^...

    Text Solution

    |

  18. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

    Text Solution

    |

  19. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

    Text Solution

    |

  20. |{:(,"List-I",,"List-II"),((P),Na^(+)gt K^(+)gt Rb^(+),(1),"Ionic mobi...

    Text Solution

    |