Home
Class 11
MATHS
Q. Let n be an add integer if sin ntheta...

Q. Let n be an add integer if `sin ntheta = sum_(r=0)^n(b_r)sin^rtheta`, for every value of theta then, a. `b_0 = 1, b_1 = 3` b. `b_0 = 0, b_1 = 1` c. `b_0 = -1, b_1 = 1` d. `b_0 = 0, b_1 = 2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If sum_(r=0)^n{a_r(x-alpha+2)^r-b_r(alpha-x-1)^r}=0, then prove that b_n-(-1)^n a_n=0.

A=[(a,1,0),(1,b,d),(1,b,c)] then find the value of |A|

If sum_(r=0)^(2n)a_r(x-2)^r=sum_(r=0)^(2n)b_r(x-3)^ra n da_k=1 for all kgeqn , then show that b_n=^(2n+1)C_(n+1) .

If sum_(r=0)^(n){a_(r)(x-alpha+2)^(r)-b_(r)(alpha-x-1)^(r)}=0 , then (a) b_(n) = 1+a_(n) (b) b_(n) = (-1)^(n)xxa_(n) (c) b_(n) = (-1)^(n-1) xxa_(n) (d) b_(n) + 1 = a_(n)

Let X = A . bar (BC) . Evaluate X for (a) A = 1 , B = 0 , C = 1 , (b) A = B = C = 1 and ( c) A = B = C = 0.

If (-1,\ 2),\ (2,\ -1) and (3,\ 1) are any three vertices of a parallelogram then the fourth vertex (a,b) will be such that (a) a=2 , b=0 (b) a= - 2, b=0 (c) a= - 2, b=6 (d) a=0, b=4

If a ,b , in R such that a+b=1a n d(1-2a b0(a 63+b^3)=12 . The value of (a^2+b^2) is equal to____.

If |(1,-t a ntheta),(t a ntheta,1)| |(1,t a ntheta),(-t a ntheta,1)|^-1=|[a,-b],[b ,a]| , then a. a=cos2theta b. a=1 c. b=sin2theta d. b=-1

Find the sum of the series upto n terms 0.b+0.b b+0.b b b +0.b b b b+"......",AA " b" in N " and "1 le b le 9.

If a/b+b/a=1, then a^3+b^3=? (a) 1 (b) -1 (c) 1/2 (d) 0

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. For an increasing A.P. a1, a2, an ifa1=a2+a3+a5=-12 and a1a3a5=80 , ...

    Text Solution

    |

  2. If p(x)=(1+x^2+x^4++x)/(1+x+x^2++x^(n-1)^(2n-2) is a polynomial in x ,...

    Text Solution

    |

  3. Q. Let n be an add integer if sin ntheta = sum(r=0)^n(br)sin^rtheta, f...

    Text Solution

    |

  4. Match the statements/expressions given in Column 1 with the values ...

    Text Solution

    |

  5. Let Sn=sum(k=1)^(4n)(-1)(k(k+1))/2k^2dot Then Sn can take value (s) 10...

    Text Solution

    |

  6. if a ,b ,c are in G.P.,then (log)a 10 ,(log)b10,(log)c 10 are in

    Text Solution

    |

  7. The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+ i s (10)/...

    Text Solution

    |

  8. Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 a ...

    Text Solution

    |

  9. Statement 1: Coefficient of x^(14) in (1+2x+3x^2+....+16 x^(15))^2 is ...

    Text Solution

    |

  10. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

    Text Solution

    |

  11. Statement 1: x=1111....1 of 91 times of is a composite number.

    Text Solution

    |

  12. Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then...

    Text Solution

    |

  13. Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...

    Text Solution

    |

  14. Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement ...

    Text Solution

    |

  15. Let p1,p2,...,pn and x be distinct real number such that (sum(r=1)^(n...

    Text Solution

    |

  16. If Sn denote the sum of first n terms of an A.P. whose first term is a...

    Text Solution

    |

  17. If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...

    Text Solution

    |

  18. Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...

    Text Solution

    |

  19. If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the...

    Text Solution

    |

  20. If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...

    Text Solution

    |