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

If `y=1cos theta+2costheta+3cos3theta+....+99cos99theta,` then maximum value of y is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If y=1costheta+2cos2theta+3cos3theta++99 cos 99theta , the maximum value of y is 5490 b. 4950 c. 9450 d. oo

Solve cos theta+cos 2theta+cos 3theta=0 .

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

costheta+cos2theta+cos3theta+.......+cos(n-1)theta+cosntheta=

If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least positive value of theta is equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2

Solve: costheta+cos3theta+cos5theta+cos7theta=0

Solve: cos3theta+2costheta=0

Let A=[(1,3cos 2theta,1),(sin2theta, 1, 3 cos 2 theta),(1, sin 2 theta, 1)] the maximum value of |A| is equal to k, then (k-3)^(2) is equal to

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

Prove that ( cos theta + cos 2 theta + cos 3 theta + cos 4 theta)/(sin theta + sin 2 theta + sin 3 theta + sin 4 theta)= cot ""(5theta)/(2).

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If("lim")(xvecoo)(n .3^n)/(n(x-2)^n+n .3^(n+1)-3^n)=1/3, t h e nt h e ...

    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=1cos theta+2costheta+3cos3theta+....+99cos99theta, then maximum v...

    Text Solution

    |

  4. A variable plane moves so that the sum of reciprocals of its interce...

    Text Solution

    |

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

    Text Solution

    |

  6. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

    Text Solution

    |

  7. In given figure vec A B=3 hat i- hat j , vec A C=2 hat i+3 hat j and ...

    Text Solution

    |

  8. Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), where f(x) is an increasing di...

    Text Solution

    |

  9. The solution set of the inequality max {1-x^2,|x - 1|}<1 then

    Text Solution

    |

  10. If [.] denotes greatest integer function and x in (0,20), then the num...

    Text Solution

    |

  11. The simultaneous equations, y=x+2|x| & y=4+x-|x| have the solution se...

    Text Solution

    |

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

    Text Solution

    |

  13. 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 distin...

    Text Solution

    |

  14. If f(x)={-(cos^2pix)/2,0lt=x<1(1-x)^2,0lt=xlt=2 the number of values o...

    Text Solution

    |

  15. Consider the series 2016. n+2015.(n-1)+2014.(n-2)+2013.(n-3)+ , where ...

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

  18. Match the following Consider the parabola f(x)=x^2+k x+4 Column I ...

    Text Solution

    |

  19. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

    Text Solution

    |

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

    Text Solution

    |