Home
Class 12
MATHS
If y=1costheta+2cos2theta+3cos3theta+......

If `y=1costheta+2cos2theta+3cos3theta+......+99 cos 99theta` , the maximum value of `y` is (A) `5490` (B) `4950` (C) `9450` (D) 0

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

costheta.cos2theta.cos3theta=1/4

costheta-cos2theta=sin3theta

If cos 5theta=a cos theta + b cos^(3)theta+c cos^(5) theta+d , then

If costheta+cos3theta+cos5theta+cos7theta=0 , then general value of theta is:

if costheta+cos2theta+cos3theta=0 , the general value of theta is

2-cos^(2)theta =3 sintheta costheta , sintheta ne cos theta , then the value of tan theta is

x=3costheta-2cos^(3)theta, y = 3 sin theta- 2 sin^(3) theta

RESONANCE DPP-JEE MAINS-All Questions
  1. If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of...

    Text Solution

    |

  2. If ""^(100)C(6)+4." "^(100)C(7)+6." "^(100)C(8)+4." "^(100)C(9)+""^(1...

    Text Solution

    |

  3. If y=1costheta+2cos2theta+3cos3theta+......+99 cos 99theta , the maxim...

    Text Solution

    |

  4. If [.] and {.} denote greatest and fractional part functions respectiv...

    Text Solution

    |

  5. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  6. Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differen...

    Text Solution

    |

  7. Consider the inequality max {1-x^2,|x - 1|}<1 then

    Text Solution

    |

  8. The simultaneous equations, y=x+2|x|&amp; y=4+x-|x| have the solution...

    Text Solution

    |

  9. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  10. If f(x)=a x^2+b x+a^2+b^2+c^2-a b-b c-c a ,w h e r ea ,b ,c are disti...

    Text Solution

    |

  11. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

    Text Solution

    |

  12. Tangent lines are drawn at the points P and Q where f''(x) vanishes f...

    Text Solution

    |

  13. If a^2x^4+b^2y^4=c^6, then the maximum value of x y is (a)(c^2)/(sq...

    Text Solution

    |

  14. Let y=f(x) satisfies the equation f(x) = (e^(-x)+e^(x))cosx-2x+int(0...

    Text Solution

    |

  15. Given that n arithmetic means are inserted between two sets of numbers...

    Text Solution

    |

  16. The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the i...

    Text Solution

    |

  17. If a,b,and c are three terms of an A.P such that a != b then (b-c)/...

    Text Solution

    |

  18. Least value of |z-2|+|z-4i| is

    Text Solution

    |

  19. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

    Text Solution

    |

  20. Tangent is drawn at the point (xi ,yi) on the curve y=f(x), which ...

    Text Solution

    |