Home
Class 11
MATHS
3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+c...

`3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x)` is equal to

A

11

B

12

C

13

D

14

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

Show that : 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x-cos^6x) is independent of x

cosx + sinx = cos2x + sin2x

The value of the integral int_((pi)/(6))^((pi)/(2))((1+sin2x+cos2x)/(sinx+cosx))dx is equal to-

Show that 3(sin^4x+cos^4x)-2(sin^6x+cos^6x)=1 .

int sinx/(sin x - cosx) dx

cot2x = cosx + sinx

sinx + cosx = sqrt(2) cos2x

If 0lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-2(sin^3x+cos^3x)=8 is

sinx + cosx = (cos2x)/(1-sin2x)

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If tanA=(1-cosB)/sinB, then

    Text Solution

    |

  2. If m and M be the minimum and maximum value of 10 cos^2x-6sinxcosx+2si...

    Text Solution

    |

  3. 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

    Text Solution

    |

  4. If tanx=(b/a), then acos2x+bsin2x is equal to

    Text Solution

    |

  5. tan9^@-tan27^@-tan63^@+tan81^@ is equal to

    Text Solution

    |

  6. (1+sintheta-costheta)/(1+sintheta+costheta)=

    Text Solution

    |

  7. The number of ordered pairs (alpha,beta), where alpha,betain(-pi,pi) s...

    Text Solution

    |

  8. The number of solutions of the equation x/100=sinx is

    Text Solution

    |

  9. If mtan(theta-30^@)=ntan(theta+120^@), then cos2theta is equal to

    Text Solution

    |

  10. The equation cos2x+asinx=2a-7 possessses a solution if

    Text Solution

    |

  11. (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costh...

    Text Solution

    |

  12. If 4nalpha=pi, thencotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is ...

    Text Solution

    |

  13. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  14. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |