Home
Class 12
MATHS
Find the value of cos^(4)""(pi)/(8)+cos^...

Find the value of `cos^(4)""(pi)/(8)+cos^(4)""(3pi)/(8)+cos^(4)""(5pi)/(8)+cos^(4)""(7pi)/(8)`.

A

0

B

`1//2`

C

`3//2`

D

1

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

Prove that cos ^(4) ""(pi)/(8) + cos ^(4) ""(3pi)/(8) + cos ^(4) ""(5pi)/(8) + cos ^(4) "" (7pi)/(8) = (3)/(2)

Prove that: cos ^(4) ""(pi)/(8) + cos ^(4) ""(3pi)/(8) + sin ^(4) "" (5pi)/(8) + sin ^(4)""(7pi)/(8) = 3/2.

Find the values of cos pi/8

Prove that: cos^(2)((pi)/(8)) + cos^(2)((3pi)/(8)) + cos^(2)((5pi)/(8))+ cos^(2)((7pi)/(8))=2

Find cos "" (7pi)/(8).

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

sin ^(4) "" (pi)/(8) + sin ^(4) "" (3pi)/(8) + sin ^(4) "" (5pi)/(8) + sin ^(4)"" (7pi)/(8) = (3)/(2).

Evaluate : 8 cos ^(3) ""(pi)/(9)- 6cos ""(pi)/(9)

Find the value of cos""(pi)/(12)(sin""(5pi)/(12)+cos""(pi)/(4))+sin""(pi)/(12)(cos""(5pi)/(12)-sin""(pi)/(4)) .

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

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. In a right angled triangle, the hypotenuse is four times as long as th...

    Text Solution

    |

  2. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

    Text Solution

    |

  3. Find the value of cos^(4)""(pi)/(8)+cos^(4)""(3pi)/(8)+cos^(4)""(5pi)/...

    Text Solution

    |

  4. If tan(A+B)=pand tan(A-B)=q, then the value of tan2A, is

    Text Solution

    |

  5. In a tringle ABC, sin A-cosB=cosC, then angle B, is

    Text Solution

    |

  6. If theta lies in the first quadrant which of the following in not true

    Text Solution

    |

  7. cos2 theta+2 costheta is always

    Text Solution

    |

  8. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  9. The maximum and minimum values of -4le5cos theta+3cos(theta+(pi)/(3...

    Text Solution

    |

  10. Prove that: sin36^0s in 72^0s in 108^0s in 144^0=5/(16)dot

    Text Solution

    |

  11. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

    Text Solution

    |

  12. If sinx+cosecx=2," then "sin^nx+cosec^nx is equal to

    Text Solution

    |

  13. If (x)/(a) cos alpha+ (y)/(b) sin alpha = 1, (x)/(a) cos beta + (y)/(b...

    Text Solution

    |

  14. The value of theta lying between 0 and pi/2 and satisfying |[1+sin^2th...

    Text Solution

    |

  15. The vlaue of sqrt3cot20^(@)-4cos20^(@), is

    Text Solution

    |

  16. Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.

    Text Solution

    |

  17. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

    Text Solution

    |

  18. The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to

    Text Solution

    |

  19. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

    Text Solution

    |

  20. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

    Text Solution

    |