Home
Class 12
MATHS
If alpha=cos ((2pi)/5)+isin((2pi)/5) , t...

If `alpha=cos ((2pi)/5)+isin((2pi)/5)` , then find the value of `alpha+alpha^2+alpha^3+alpha^4`

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

If alpha=cos((2 pi)/(5))+i sin((2 pi)/(5)), then find the value of alpha+alpha^(2)+alpha^(3)+alpha^(4)

If alpha=(pi)/(7), then find the value of ((1)/(cos alpha)+(2cos alpha)/(cos2 alpha))

If alpha=(pi)/(7) then find the value of ((1)/(cos alpha)+(2cos alpha)/(cos2 alpha))

If alpha=cos((8 pi)/(11))+i sin((8 pi)/(11)) then Re(alpha+alpha^(2)+alpha^(3)+alpha^(4)+alpha^(5)) is

If alpha=cos((2pi)/7)+i sin((2pi)/7) then a quadratic equation whose roots are (alpha+ alpha^(2)+ alpha^(4)) and (alpha^(3)+ alpha^(5)+alpha^(6))

If alpha_r=(cos2rpi+isin2rpi)^(1/10) , then |(alpha_1, alpha_2, alpha_4),(alpha_2, alpha_3, alpha_5),(alpha_3, alpha_4, alpha_6)|= (A) alpha_5 (B) alpha_7 (C) 0 (D) none of these

If alpha=(pi)/(31) then find the value of (1)/(4)[(1)/(cos alpha)+(2cos alpha)/(cos2 alpha)+(4cos3 alpha)/(cos4 alpha)+(8cos7 alpha)/(cos8 alpha)]

If cos5 alpha=cos^(5)alpha, where alpha in(0,(pi)/(2)) then find the possible values of (sec^(2)alpha+cos ec^(2)alpha+cot^(2)alpha)

RESONANCE DPP-JEE MAINS-All Questions
  1. The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-...

    Text Solution

    |

  2. If (x^2-7|x|+10)/(x^2-6x+9)<0 then x can belongs to a(-5,-2) b.(2,3...

    Text Solution

    |

  3. If alpha=cos ((2pi)/5)+isin((2pi)/5) , then find the value of alpha+al...

    Text Solution

    |

  4. The graphs of y=s in x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

    Text Solution

    |

  5. If m and n are the smallest positive integers satisfying the relation ...

    Text Solution

    |

  6. If tan25^0=a , then the value of (tan205^0-t a n 115^0)/(tan245^0+t a ...

    Text Solution

    |

  7. Let f(x) is a continuous function symmetric about the lines x=1a n dx...

    Text Solution

    |

  8. If cos x=- (1)/(3) and x lies in Quadrant III find the values ...

    Text Solution

    |

  9. If int (x^9+x^6+x^3)(2x^6+3x^3+6)^(1/3) dx=1/a(2x^9+3x^6+6x^3)^(4/3)+c...

    Text Solution

    |

  10. If the sum sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3...

    Text Solution

    |

  11. Draw the region bounded by x^2 + y^2 >1 and x^2/1+y^2/4 le 1

    Text Solution

    |

  12. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

    Text Solution

    |

  13. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

    Text Solution

    |

  14. Let inte^x{f(x)-f^(prime)(x)}dx=varphi(x)dot Then inte^xf(x)dx is v...

    Text Solution

    |

  15. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

    Text Solution

    |

  16. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ s ...

    Text Solution

    |

  17. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

    Text Solution

    |

  18. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

    Text Solution

    |

  19. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

    Text Solution

    |

  20. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

    Text Solution

    |