Home
Class 12
MATHS
Find the value of (cos^(4)1^(@)+cos^(4)2...

Find the value of `(cos^(4)1^(@)+cos^(4)2^(@)+cos^(4)3^(@)+......+cos^(4)179^(@))-(sin^(4)1^(@)+sin^(4)2^(@)+sin^(4)3^(@)+.......+sin^(4)179^(@))`.

A

`2cos1^(@)`

B

-1

C

`2 sin 1^(@)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Find the value of : sin{cos("cos"^(-1)(3pi)/4)}

The value of (cos^4 1^@+cos^4 2^@+....+cos^4 179^@)-(sin^4 1^@+sin^4 2^@+.....+sin^4 179^@) equals

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

Prove that cos^(4)A-sin^(4)A=cos^(2)A-sin^(2)A .

The value of (sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@)) is __________

Prove that : (i) sin 60^(@) = 2 sin 30^(@) cos 30^(@) (ii) 4(sin^(4) 30^(@) + cos^(4) 60^(@)) - 3(cos^(2)45 - sin^(2)90^(@)) = 2

Prove that : cos^(4) A - sin^(4) A = 2 cos^(2) A - 1

The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) is equal to

Prove that sin^(4)A"cosec"^(2)A+cos^(4)Asec^(2)A=1

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  2. If pi=(tan(3^(n+1)theta)-tan theta) and Q=sum(r=0)^(n) (sin(3^(r )thet...

    Text Solution

    |

  3. Find the value of (cos^(4)1^(@)+cos^(4)2^(@)+cos^(4)3^(@)+......+cos^(...

    Text Solution

    |

  4. Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...

    Text Solution

    |

  5. Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...

    Text Solution

    |

  6. If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...

    Text Solution

    |

  7. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  8. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  9. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then

    Text Solution

    |

  10. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  11. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  12. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  13. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  14. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |

  15. If AD is the altitude on BC and AD produced meets the circumcircle of ...

    Text Solution

    |

  16. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

    Text Solution

    |

  17. Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...

    Text Solution

    |

  18. A circle is inscribed inside a regular pentagon and another circle is ...

    Text Solution

    |

  19. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

    Text Solution

    |

  20. Minimum value of 4x^2-4x|sin theta|-cos^2 theta is equal

    Text Solution

    |