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

Let `sin^(3)x* sin 3x = sum_(m=0)^(n) c_m cos mx` be an identity in x where `c_1, c_2`, etc., are constants, `c_n ne 0`. Then n=______, `c_5`=_____.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

cos^(3)x*sin2x=sum_(m=1)^(n)(a_(m))sin mx is an

if sin^(3)x-sin3x=sum_(m=0rarr n)c_(m)*cos mx is an identity in x, where c_(m)^(=0rarr n) are constant then the value of n is

Suppose sin^(3)xsin3x= sum_(n=0)^(n) c_(n)cosnx is an identify in n, where C_(0), C_(1) , …..C_(n) are constants and C_(n) ne 0, Then , the value of n is ___________.

Suppose sin^(3)x sin3x=sum_(m=0)^(n)C_(m)cos mx is an identity in x, where C_(0),C_(1)...,C_(n) are constants and C_(n)!=0, the the value of n is

If sin^(3)x sin3x=sum_(n=0)^(6)c_(n)cos^(n)x where c_(0),c_(1),c_(2),...c_(6) are constants.then find the value of c_(4)

sin^(3)x sin3x=c_(0)-c_(1)cos x+c_(2)cos2x+....c_(n)cos nx

if sin^(3)x sin3x=sum C_(m)cos^(m)x where c_(0),c_(1),c_(2).....c_(6) are constants then :

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If 0 lt beta lt alpha lt gamma and cos(alpha + beta) = 4/5, sin(alpha...

    Text Solution

    |

  2. If alpha = 2pi/7 prove that tan alpha *tan 2alpha + tan 2alpha* tan 4a...

    Text Solution

    |

  3. Let sin^(3)x* sin 3x = sum(m=0)^(n) cm cos mx be an identity in x wher...

    Text Solution

    |

  4. If (cos (alpha1- alpha2))/(cos (alpha1+ alpha2)) = (cos (alpha3+ alph...

    Text Solution

    |

  5. If sin x + sin y = a, cos x - cos y = b then the value of tan ((y-x)/2...

    Text Solution

    |

  6. Find the value of sin^(2)5^(@)+ sin^(2)10^(@)+ sin^(2)15^(@)+* * * +si...

    Text Solution

    |

  7. The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

    Text Solution

    |

  8. The numerical value of sin pi/18 * sin 5pi/18* sin 7pi/18 is.............

    Text Solution

    |

  9. The numerical value of tan 20^circ* tan 40^circ* tan 80^circ =.

    Text Solution

    |

  10. The numerical value of cos(( pi)/15)* cos ((2pi)/15)* cos ((4pi)/15) ...

    Text Solution

    |

  11. The numerical value of sin 6^circ* sin 42^circ* sin 66^circ* sin 78^c...

    Text Solution

    |

  12. The numerical value of cot^(2)36^circ* cot^(2)72^circ =.

    Text Solution

    |

  13. The numerical value of sin 12^circ* sin 48^circ* sin 54^circ= .

    Text Solution

    |

  14. If sin 54^circ = 1/2 + sin theta, 0 lt theta lt pi/2, then theta = .

    Text Solution

    |

  15. The numerical value of tan 225^circ *cot 405^circ + tan 765^circ* cot...

    Text Solution

    |

  16. The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

    Text Solution

    |

  17. If (1 + sin 2x)/(1- sin2x) = tan^(2) *(alpha +x) for all x then the ...

    Text Solution

    |

  18. If cos(x -y), cos x and cos(x + y) are in HP then cos x* sec (y/2)= .

    Text Solution

    |

  19. If A, B, C are in AP and B = pi/4 , then tan A *tan B*tan C = .

    Text Solution

    |

  20. If p in (0, pi) then the set of values of p for which sin p* cos^(3) ...

    Text Solution

    |