Home
Class 12
MATHS
underset(r=1)overset(n-1)(sum)cos^(2)""(...

`underset(r=1)overset(n-1)(sum)cos^(2)""(rpi)/(n)` is equal to

A

`n/2`

B

`(n-1)/2`

C

`n/2-1`

D

`(n+1)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

sum_(r=1)^(n-1)cos^(2)""(rpi)/(n) is equal to

sum_(r=0)^(n) sin^(2)""(rpi)/(n) is equal to

If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C_(r)) , then underset(r=0)overset(n)(sum)(r)/(.^(n)C_(r)) is equal to

underset(r=1)overset(n)(sum)r(.^(n)C_(r)-.^(n)C_(r-1)) is equal to

underset(r=1)overset(n)sum ( r )/(r^(4)+r^(2)+1) is equal to

The sum, underset(n-1)overset(10)(Sigma)(n(2n+1)(2n-1))/5 is equal to.........

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. tanA +tanB + tanC = tanA tanB tanC if

    Text Solution

    |

  2. The value of sin pi/n + sin (3pi)/n+ sin (5pi)/n+... to n terms is equ...

    Text Solution

    |

  3. underset(r=1)overset(n-1)(sum)cos^(2)""(rpi)/(n) is equal to

    Text Solution

    |

  4. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  5. The value of sin (pi/14). sin((3pi)/14). sin( (5pi)/14)………. Sin ((13pi...

    Text Solution

    |

  6. In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of...

    Text Solution

    |

  7. let a=cosA+cosb-cos(A+B) and b=4sin(A/2)sin(B/2)cos((A+B)/2) Then a-b ...

    Text Solution

    |

  8. The value of tan^6(15^@)-15tan^4(15^@)+15tan^2(15^@)-3 is

    Text Solution

    |

  9. If A, B, C are in A.P., then correct relation is cotA=(sinB+sinC)/(co...

    Text Solution

    |

  10. cos(pi/14)+cos((3pi)/14)+cos((5pi)/14)=kcot(pi/14) then k is equal t...

    Text Solution

    |

  11. The minimum value of 8(cos2theta+cos theta) is equal to

    Text Solution

    |

  12. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  13. The value of tan7 1/2^@ equal to

    Text Solution

    |

  14. If tanalpha=sqrt(a), where a is a rational number whch is not a perfec...

    Text Solution

    |

  15. The value of 2tan18^@+3sec18^@-4cos18^@ is

    Text Solution

    |

  16. If tan^2alpha-2tan^2beta=1 then which of the following options is corr...

    Text Solution

    |

  17. The value of tan10^@tan50^@tan70^@ is

    Text Solution

    |

  18. If the arcs of the same length in two circles subtend angles 65 and 11...

    Text Solution

    |

  19. If cos2x+2cosx=1 then sin^2x(2-cos^2x) is

    Text Solution

    |

  20. The value of tan(theta/2)(1+sectheta)(1+sec2theta)+(1+sec2^2theta).......

    Text Solution

    |