Home
Class 12
MATHS
41. If sin x + sin^ 2 x = 1, then the v...

41. If ` sin x + sin^ 2 x = 1`, then the value of expression `cos^12x+3cos^10x+3cos^8x+cos^6x-1` is equal to

A

0

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

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

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-2 is equal to

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

cos^(12)x+3cos^(10)x+3cos^(8)x+cos^(6)x-2

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

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

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

If 2cos x+sin x=1, then find the value of 7cos x+6sin x

The least value of the expression y=(1)/((3sin^(2)x + 3 sin x cos x + 7 cos ^(2)x)) is equal to

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. If the maximum value of cos(cosx) is a and minimum value is b, then

    Text Solution

    |

  2. If (2sinA)/(1+sinA+cosA)=k then (1+sinA-cosA)/(1+sinA)=

    Text Solution

    |

  3. 41. If sin x + sin^ 2 x = 1, then the value of expression cos^12x+3co...

    Text Solution

    |

  4. If sum(r=15)^29(cos(rpi/2+theta)=S1 and sum(r=15)^29(sin(rpi/2+theta)...

    Text Solution

    |

  5. The maximum value of cos^(2)(cos(33pi + theta))+sin^(2)(sin(45pi+theta...

    Text Solution

    |

  6. If (sin^4x)/2 + (cos^4x)/3=1/5, then

    Text Solution

    |

  7. If asin^2theta+bcos^2theta=m, bsin^2phi+acos^2phi=n, atantheta=btanphi...

    Text Solution

    |

  8. The value of tan((5pi)/12)-tan(pi/12) is

    Text Solution

    |

  9. If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)...

    Text Solution

    |

  10. If tanalpha=(sqrt(3)+1)/(sqrt(3)-1), then the expression cos 2alpha +(...

    Text Solution

    |

  11. If 0 lt theta(2) lt theta(1) lt pi/4, cos (theta(1) + theta(2)) = 3/5 ...

    Text Solution

    |

  12. If sintheta=1/2, cosphi=1/3 then theta+phi belongs to, where 0<theta ,...

    Text Solution

    |

  13. The range of f(theta)=3cos^2theta-8sqrt(3) cos theta sin theta + 5 sin...

    Text Solution

    |

  14. The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real value...

    Text Solution

    |

  15. The value of cos(pi/4)*cos(pi/8)*cos(pi/16)cos(pi/(2^n)) equals

    Text Solution

    |

  16. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

    Text Solution

    |

  17. tanA +tanB + tanC = tanA tanB tanC if

    Text Solution

    |

  18. The value of sin pi/n + sin (3pi)/n+ sin (5pi)/n+... to n terms is equ...

    Text Solution

    |

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

    Text Solution

    |

  20. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |