Home
Class 11
MATHS
Find the value of (1+cos (pi/8))(1+cos(3...

Find the value of `(1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi/8))`

A

44198

B

`cos(pi/8)`

C

44204

D

`(1+sqrt2)/(2sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

The value of (1+ cos ""(pi)/(8))(1+cos""(3pi)/(8))(1+ cos ""(5pi)/(8)) (1+ cos "'(7pi)/(8)) is-

(cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

The value of (1+cospi//6)(1+cospi//3)(1+cos2pi//3)(1+cos7pi//6) is

The value of [(1+cos(pi/8)+isin(pi/8))/(1+cos(pi/8)-isin(pi/8))]^8 is

Find the value of (cos^2pi/16+ cos^2 (3pi)/16+cos^2(5pi)/16+cos^2(7pi)/16) .

Find the value of cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7pi)/(16)dot

Prove that, (1 + "cos" pi/8)(1 + "cos" (3pi)/8)(1 + "cos" (5pi)/8)(1 + "cos" (7pi)/8 ) = 1/8

Evaluate : cos^2(pi/8)+cos^2((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)

Find the value of 16cos(pi/15).cos((2pi)/15).cos((4pi)/15).cos((8pi)/15)

Find the value of 2cos^3(pi/7)-cos^2(pi/7)-cos(pi/7)

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |

  2. If "coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta

    Text Solution

    |

  3. Find the value of (1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi...

    Text Solution

    |

  4. (cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

    Text Solution

    |

  5. The value of underset(r=1)overset9sum sin^2(rpi)/18=

    Text Solution

    |

  6. If A+B+C=(3pi)/2, then cos2A +cos2B+cos2C is

    Text Solution

    |

  7. The number of points of intersection of 2y=1 and y=sinx, -2pilexle2pi

    Text Solution

    |

  8. If sinalpha, sinbeta and cosalpha are in G.P. then roots of the equati...

    Text Solution

    |

  9. If x=secphi-tanphi and y=cosecphi+cotphi, then

    Text Solution

    |

  10. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

    Text Solution

    |

  11. Which one is correct?

    Text Solution

    |

  12. In a DeltaABC, if cotAcotBcotCgt0, then the Delta is

    Text Solution

    |

  13. cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14)=

    Text Solution

    |

  14. If (2sinalpha)/(1+cosalpha+sinalpha)=x, then (1-cosalpha+sinalpha)/(1+...

    Text Solution

    |

  15. If secalpha and cosecalpha are two roots of x^2-px+q=0 then

    Text Solution

    |

  16. If costheta + sectheta = (-2) then cos^ntheta + sec^ntheta= (If n is e...

    Text Solution

    |

  17. Given A=sin^2theta +cos^4theta. Then for all real values of theta, whi...

    Text Solution

    |

  18. The minimum value of cos(cosx) is

    Text Solution

    |

  19. If S=cos^2(pi/n) + cos^2((2pi)/n) +....+ cos^2((n-1)pi)/n, then S equa...

    Text Solution

    |

  20. If cos5theta = acostheta +bcos^2theta + c.cos^5theta =d, then

    Text Solution

    |