Home
Class 12
MATHS
The value of the expression 3(sinx-cosx...

The value of the expression `3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(sinx+cosx)^(2)` is

A

10

B

12

C

13

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|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

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

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If x_(1),x_(2),...,x_(n) are real numbers, then the largest value of the expression sinx_(1)cosx_(2)+sinx_(2)cosx_(3)+...+sinx_(n)cosx_(1), is

The value of 3(sinx - cosx)^4 + 6(sinx + cosx)^2 + 4 (sin^6 x + cos^6 x) is

3 (sinx - cosx)^(4) + 6 (sinx + cosx)^(2) + 4(sin^(6)x + cos^(6)x) =

((sinx - x cosx)/(x sinx + cos x ))

(sinx+2cos x)/(3 sinx+4cosx)

int(cosx-sinx)/(( sin x+ cos x)^(2))dx

The value of the int(sinx+cosx)/(3+sin2x)dx is equal to

If sinx+cosx=c , then sin^(6)x+cos^(6)x is equal to

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

    Text Solution

    |

  2. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

    Text Solution

    |

  3. The value of the expression 3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(s...

    Text Solution

    |

  4. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

    Text Solution

    |

  5. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

    Text Solution

    |

  6. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

    Text Solution

    |

  7. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

    Text Solution

    |

  8. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

    Text Solution

    |

  9. If sin (picot theta)=cos (pi tantheta), then

    Text Solution

    |

  10. The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+...

    Text Solution

    |

  11. If ABCD is a convex quadrilateral such that 4 sec A+5 =0 then the quad...

    Text Solution

    |

  12. If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1,...

    Text Solution

    |

  13. cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)cos((6pi...

    Text Solution

    |

  14. The value of cos12^(@)cos24^(@)cos36^(@)cos48^(@)cos72^(@)cos84^(@), i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |