Home
Class 12
MATHS
The value of sin^(6)((pi)/(49))+cos^(6...

The value of
`sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(49))cos^(2)((pi)/(49))` is equal to

Text Solution

Verified by Experts

The correct Answer is:
0
We have,
`sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(49))cos^(2)((pi)/(49))-sin^(6)((pi)/(49))+cos^(6)((pi)/(49))`
`+3sin^(2)((pi)/(49))cos^(2)((pi)/(49))(sin^(2)""(pi)/(49)+cos^(2)""(pi)/(49))-1`
`=(sin^(2)""(pi)/(49)+cos^(2)""(pi)/(29))^(3)-1=1-1=0`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Find the value of the sin^(2)((pi)/(6))+cos^(2)((pi)/(3))-tan^(2)((pi)/(4))

(sin((pi)/(10))+sin(13(pi)/(10)))(cos^(2)((pi)/(6))-cos^(2)((pi)/(10))) is equal to

The value of 64sqrt(3)sin((pi)/(48))cos((pi)/(48))cos((pi)/(24))cos((pi)/(12))cos((pi)/(6))

The value of sin^(-1)(sin""(2pi)/(3))+cos^(-1)(cos""(7pi)/(6)) is

The value of cos^(2)0+sin^(2)((pi)/(6))+tan^(2)((pi)/(3))+cosec^(2)((pi)/(2)) is

Find the value of the :cos^(2)((pi)/(6))+cos ec(5(pi)/(6))+3tan^(2)((pi)/(6))

The value of 2sin^(2)((pi)/(3))-cos^(2)((pi)/(6))+tan^(2)(pi/6) is equal to ....

sin^(2)(pi)/(6)+cos^(2)(pi)/(3)-tan^(2)-(1)/(2)(pi)/(4)=-(1)/(2)

Value of expression sin^(2)(pi)/(6)+cos^(2)(pi)/(4)-sec(pi)/(3) is

2sin^(2)((pi)/(6))+cos ec^(2)(7(pi)/(6))(cos^(2)pi)/(3)=(3)/(2)

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Section I - Solved Mcqs
  1. lf cos 5theta=acos^5 theta + b cos^3 theta + c cos theta then c is ...

    Text Solution

    |

  2. Given tan A and tan B are the roots of x^2-ax + b = 0, The value of si...

    Text Solution

    |

  3. The value of sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(...

    Text Solution

    |

  4. Find the value of : sin^3alpha + sin^3(120^@ +alpha)+ sin^3(240^@+ a...

    Text Solution

    |

  5. If sin2 theta=3/4, then sin^(3)theta+cos^(3)theta=

    Text Solution

    |

  6. If (1+sqrt(1+x))tanx=1+sqrt(1-x), then sin 4x is equal to

    Text Solution

    |

  7. If A+B=pi/3 and cos A+cos B=1, then which of the following is/are true...

    Text Solution

    |

  8. Which of the following statements about tan10^(@) is true?

    Text Solution

    |

  9. Find The Value Of : sin(pi/18)*sin((5pi)/18)*sin((7pi)/18)

    Text Solution

    |

  10. If tanalpha=sqrta where a is not a perfect square then which of the fo...

    Text Solution

    |

  11. If sec2 theta=p+tan2 theta, then the value of sin^(2)theta is given by...

    Text Solution

    |

  12. The value of sin( pi/n) + sin ((3pi)/n)+ sin ((5pi)/n)+... to n terms ...

    Text Solution

    |

  13. The value of cos(pi/11)+cos((3pi)/11)+cos((5pi)/11)+cos((7pi)/11)+cos...

    Text Solution

    |

  14. sum(r=0)^(n) sin^(2)""(rpi)/(n) is equal to

    Text Solution

    |

  15. If tan""(2pi)/(18),x andtan""(7pi)/(18) are in A.P. and tan""(2pi)/(18...

    Text Solution

    |

  16. The Minimum value of 27^cosx +81^sinx is equal to

    Text Solution

    |

  17. The value of tan alpha +2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n...

    Text Solution

    |

  18. यदि tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta तब k=

    Text Solution

    |

  19. For 0ltxlt(pi)/(6), all the values of tan^(2)3x cos^(2)x-4tan3xsin2x+1...

    Text Solution

    |

  20. In a cyclic quadrilateral ABCD, the value of 2+sum cos A soc B, is

    Text Solution

    |