Home
Class 12
MATHS
sum(r=1)^(n-1)cos^(2) (rpi)/2 is equal t...

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

A

`n/2`

B

`(n-1)/(2)`

C

`n/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The value of sum_(r=0)^(10)cos^3((rpi)/3) is equal to (a) 1/4 (b) 1/8 (c) -1/4 (d) -1/8

Evaluate sum_(r=1)^(n-1) cos^(2) ((rpi)/(n)) .

sum_(r=0)^(n)(""^(n)C_(r))/(r+2) is equal to :

sum_(r=1)^(n) 1/(log_(2^(r))4) is equal to

The sum sum_(r=0)^n (r+1) (C_r)^2 is equal to :

lim_(xto1) (sum_(r=1)^(n)x^(r)-n)/(x-1) is equal to

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

sum_(r=1)^n (r^2 - r-1)/((r+1)!) is equal to :

The value of the lim_(n->oo)tan{sum_(r=1)^ntan^(- 1)(1/(2r^2))} is equal to

sum_(r=1)^(n) r^(2)-sum_(r=1)^(n) sum_(r=1)^(n) is equal to

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The value of cos12^(@)cos24^(@)cos36^(@)cos48^(@)cos60^(@)cos72^(@)cos...

    Text Solution

    |

  2. The value of sin""(15pi)/(32)sin""(7pi)/(16)sin""(3pi)/(8), is

    Text Solution

    |

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

    Text Solution

    |

  4. The value of cot theta-tantheta-2tan2theta-4tan4theta-8cot8theta, is

    Text Solution

    |

  5. If cos(x-y) , cos x and cos (x+y) are in H.P. , then cos x. sec (y/2...

    Text Solution

    |

  6. The value of tan20^(@)+2 tan50^(@)-tan70^(@), is

    Text Solution

    |

  7. If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

    Text Solution

    |

  8. The minimum value of cos 2 theta + cos theta for all real values of th...

    Text Solution

    |

  9. cos9^@-sin9^@=

    Text Solution

    |

  10. If y=(sin 3theta)/(sintheta), theta nen pi, then

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. 1+sinx+sin^(2)x+..."to"oo=2sqrt3 + 4, if x = ?

    Text Solution

    |

  14. If sin(x-y)=cos(x+y)=1/2, the value of x and y lyingbetween 0^(@)and 9...

    Text Solution

    |

  15. If alpha and beta be between 0 and (pi)/(2)and if cos(alpha+beta)=(12)...

    Text Solution

    |

  16. If tan "" (alpha )/(2) and tan "" (beta)/( 2) are the roots of the eq...

    Text Solution

    |

  17. 2x^(2) + 3x - alpha = 0 " has roots "-2 and beta " while the equation ...

    Text Solution

    |

  18. If A+B+C=0, then the value of sum cot (B+C-A) cot (C+A-B) is equal to

    Text Solution

    |

  19. In (0,pi//2)tan^(m)x+cot^(m)x attains

    Text Solution

    |

  20. For -pi/2 lt theta lt pi/2, (sintheta + sin 2theta)/(1+costheta + cos2...

    Text Solution

    |