Home
Class 11
MATHS
If sinx+sin^2x=1n then the value of cos^...

If `sinx+sin^2x=1`n then the value of `cos^12x+3cos^10x+3cos^8x+cos^6x-1` is equal to

A

0

B

1

C

2

D

`sin^2x`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If sin x + sin ^(2)x =1, then the value of (cos ^(12) x+ 3 cos ^(10) x +3 cos ^(8) x+ cos ^(6)x) is-

If sin x=cos ^2x then the value of cos^2x(1+cos^2x) will be

If sin x + sin ^(2) x=1 then the value of (cos ^(8) x+2 cos ^(6)x +cos ^(4) x) is-

If sin x+ sin y+ sin z=3, then the value of (cos x+ cos y+ cos z) is-

The value of sin(cos^(-1)x)-cos(sin^(-1)x) is-

If sin x + cos x = 2 , then the value of sin^(n)x + cos^(n)x will be-

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

The value of sin(cos^(-1)x)-cos(sin^(-1)x) is

The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

If cos (x-y)+1=0, then the value of (cos x+ cos y) and (sin x+sin y) is-

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If 4nalpha=pi, thencotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If sinalpha, sinbeta and cosalpha are in G.P. then roots of the equati...

    Text Solution

    |

  11. If x=secphi-tanphi and y=cosecphi+cotphi, then

    Text Solution

    |

  12. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

    Text Solution

    |

  13. Which one is correct?

    Text Solution

    |

  14. In a DeltaABC, if cotAcotBcotCgt0, then the Delta is

    Text Solution

    |

  15. cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14)=

    Text Solution

    |

  16. If (2sinalpha)/(1+cosalpha+sinalpha)=x, then (1-cosalpha+sinalpha)/(1+...

    Text Solution

    |

  17. If secalpha and cosecalpha are two roots of x^2-px+q=0 then

    Text Solution

    |

  18. If costheta + sectheta = (-2) then cos^ntheta + sec^ntheta= (If n is e...

    Text Solution

    |

  19. Given A=sin^2theta +cos^4theta. Then for all real values of theta, whi...

    Text Solution

    |

  20. The minimum value of cos(cosx) is

    Text Solution

    |