Home
Class 12
MATHS
If sin ^(3) x sin 3x= sum (m=0)^(n) c(m)...

If `sin ^(3) x sin 3x= sum _(m=0)^(n) c_(m) cos mx` is an identity in x, where `C_(0), C_(1),C_(2),…,C_(n)` are constants and `C_(n) ne 0,` then the value of n is equal to-

A

6

B

4

C

2

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

sin^3x.sin3x=underset(mrarr0)(oversetnsumC_mcosmx is an identity in x,where C_m s are constants then find the value of 'n'.

If sinx+cos e cx=2, then sin^n x+cos e c^n x is equal to

If "^(n)C_(0)-^(n)C_(1)+^(n)C_(2)-^(n)C_(3)+...+(-1)^(r )*^(n)C_(r )=28 , then n is equal to ……

Write the equation a_(1)x+b_(1)y+c_(1)=0, b_(1) ne 0 , in the form of y=mx+c, where m and c are constants.

If n in N then ^(n)C_0+^(n+1)C_1+^(n+2)C_2+....+^(n+r)C_r is equal to

1+.^(n)C_(1)costheta+.^(n)C_(2)cos2theta+...+.^(n)C_(n)cosntheta equals

If (1+x)^(n) = C_(0) + C_(1)x + C_(2)x^(2) + "….." + C_(n)x^(n) , then find the value of C_(0)+C_(2)+C_(4)+C_(6)+........ ​ ​

Prove that sum_(r=0)^(n) ""^(n)C_(r )sin rx. cos (n-r)x = 2^(n-1) xx sin nx .

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is

If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + …+ C_(n) x^(n) , prove that C_(0) *""^(2n)C_(n) - C_(1) *""^(2n-2)C_(n) + C_(2) *""^(2n-4) C_(n) -…= 2^(n)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 7
  1. Minimum value of (16 tan ^(2) theta +25 cot ^(2) theta) is-

    Text Solution

    |

  2. The equation a cos theta + b sin theta =c has a solution when a, b anc...

    Text Solution

    |

  3. If sin ^(3) x sin 3x= sum (m=0)^(n) c(m) cos mx is an identity in x, w...

    Text Solution

    |

  4. The value of [cos (270^(@) +theta)cos (90^(@) -theta)-sin (270^(@) -th...

    Text Solution

    |

  5. If a, b, c are the sides of the triangle ABC such that a^(4) +b^(4) +c...

    Text Solution

    |

  6. In a triangle ABC, a =sqrt3 +1, B = 30^(@)and C= 45^(@), then the valu...

    Text Solution

    |

  7. If tan A =1/2 and tan B=1/3, then the value of tan (2A+B) is-

    Text Solution

    |

  8. The value of [cos (A-B) cos (A+B) -sin (A-B) sin (A+B)] is-

    Text Solution

    |

  9. The maximum and minimum values of [4 cos x^(2)cos ((pi)/(3)+ x^(2))cos...

    Text Solution

    |

  10. If positive integers a(1), a(2), a(3),… are ion A.P. such that a(8) +a...

    Text Solution

    |

  11. The number of arrangements of the letters of the word BANANA in which ...

    Text Solution

    |

  12. For all complex numbers z(1),z(2) satisfying |z(1)|=12 and |z(2) -3-4i...

    Text Solution

    |

  13. Suppose a,b, c are in A.P. and a^(2) , b^(2),c^(2) are in G.P. if a lt...

    Text Solution

    |

  14. Find the value of (sqrt4, 4sqrt4 . 8sqrt4. 16sqrt4…oo)is-

    Text Solution

    |

  15. If a,b,c are three unequal numbers such that a,b,c are in A.P. and (b-...

    Text Solution

    |

  16. Each of 8 questions in a papeer has an alternative. Number of ways in ...

    Text Solution

    |

  17. The real numbers that satisfy the equation x^(2) +6 |x| -9 =0 are-

    Text Solution

    |

  18. The value of [(1+i)^(6) +(1-i) ^(6)] is-

    Text Solution

    |

  19. The value of the sum 11^(3) +12 ^(3)+…+20^(3)-

    Text Solution

    |

  20. The probability of having a king and a queen when two cards are drawn ...

    Text Solution

    |