Home
Class 11
MATHS
cos ^(3) x sin 2x= sum (x=0) ^(n) a (r) ...

`cos ^(3) x sin 2x= sum _(x=0) ^(n) a _(r) sin (rx) AA x in R,` then

A

`n = 5, a _(1) = 1//2`

B

`n = 5, a _(1) = 1//4`

C

`n = 5, a _(2) = -1//8`

D

`n = 5, a _(2) = 1//4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I Integer Type Questions)|7 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

cos ^(3) x sin 2x = sum _(x =0) ^(n) ar sin (rx) AA x in R, then

If f (x) =(cos^(2) x+ sin ^(4) x )/(sin^(2) x + cos^(4) x) AA x in R then show that f (2012) = 1.

Evaluate int cos ^(3) x sin x sx on R.

The general solution of the equation 2 sum _(r = 1) ^(n) cos ( r^(2) x) sin ( r x) = 1

If f(x) = (cos^(2)x+sin^(4)x)/(sin^(2)x + cos^(4)x) AA x in R then show that f(2012) = 1 .

Let A = {x in, R//|sqrt3 cos x - sin x| ge 2,0 le x le 2pi}.If x _(1) in A, x_(2) in A, then (x _(1))/(x _(2))=

If f(x)=(cos^(2)x +sin^(4)x)/(sin^(2)x +cos^(4)x) for x in R then f(2018)=

AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)
  1. If cos x + cos y + cos z =0 = sin + sin y +sin z then tan (x-y) =

    Text Solution

    |

  2. If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P....

    Text Solution

    |

  3. (sin 3 thea - sin theta sin ^(2) (2 theta ))/( sin theta + sin 2 theta...

    Text Solution

    |

  4. ( cos 6 theta +6 cos 4 theta + 15 cos 2 theta + 10)/( cos 5 theta + 5 ...

    Text Solution

    |

  5. If cos theta (1) = 2 cos theta (2), then tan (( theta (1) + theta (2)...

    Text Solution

    |

  6. If A, B, C, D be the angle of a quadrilateral, then (tan A + tan B + t...

    Text Solution

    |

  7. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

    Text Solution

    |

  8. (( cos alpha - cos 3 alpha ) ( sin 8 alpha + sin 2 alpha ))/( ( sin 5 ...

    Text Solution

    |

  9. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

    Text Solution

    |

  10. If x,y,z are in A.P, then ( sin x - sin z)/( cos z - cos x) is equal t...

    Text Solution

    |

  11. If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"...

    Text Solution

    |

  12. x tan (theta - (pi)/(6)) = y tan (theta + (2pi)/(3)) implies (x + y)/(...

    Text Solution

    |

  13. If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

    Text Solution

    |

  14. cos ^(3) x sin 2x= sum (x=0) ^(n) a (r) sin (rx) AA x in R, then

    Text Solution

    |

  15. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

    Text Solution

    |

  16. If cos x + cos y - cos (x + y ) =3/2, the

    Text Solution

    |

  17. The value of ((cos A + coa B)/( sin A - sin B)) ^(2015) + ((sin A + si...

    Text Solution

    |

  18. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

  19. If alpha + beta + gamma = 2 theta , " then " cos theta + cos ( theta...

    Text Solution

    |

  20. A+B + C = 2S implies sin S + sin (S -A) + sin (S - B) - sin (S - C) =

    Text Solution

    |