Home
Class 12
MATHS
Find the principal argument of the compl...

Find the principal argument of the complex number `sin(6pi)/5+i(1+cos(6pi)/5)dot`

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

Find the modulus, argument, and the principal argument of the complex numbers. (i-1)/(i(1-cos((2pi)/5))+sin((2pi)/5)

Find the amplitude of the complex number "sin" (6pi)/(5) + i (1- "cos" (6pi)/(5))

Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))^2)/(-2i(-sqrt(3)+i))

Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))^2)/(-2i(-sqrt(3)+i))

Find the modulus and principal argument of the following complex number: 5/2(cos30^0 +isin30^0)

Find the modulus and principal argument of the following complex number: cos 70^0+i cos 20^0

The amplitude of sin (pi)/(5) +i(1-cos"" (pi)/(5)) is

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

Find the modulus and argument of the following complex number and convert them in polar form: (i-1)/[cos(pi/3)+isin(pi/3)]

Find the principal value of each of the following: (i) cos^(-1)(sin((4pi)/3)) (ii) cos^(-1)(tan((3pi)/4))

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If alpha is the only positive root of (2^(2014)-1)x^2+(2-2^(2014))x-1=...

    Text Solution

    |

  2. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

    Text Solution

    |

  3. Find the principal argument of the complex number sin(6pi)/5+i(1+cos(6...

    Text Solution

    |

  4. In an equilateral triangle, the inradius and the circumradius are c...

    Text Solution

    |

  5. If cos x=t a n x , then which of the following is true? (a)1/(sinx)+...

    Text Solution

    |

  6. a(1),a(2),a(3)…………,a(n) are in A.P. and a(1)+a(3)+a(5)+a(7)+a(9)= 20 t...

    Text Solution

    |

  7. f(x)=cos^(-1)((-2-x^2)/(x^2+2x+2)),then (a)f(-1/2)=2tan^(-1)(1/2) ...

    Text Solution

    |

  8. Let A ,B ,C are three sets such that n(A)=25 ,n(B)=20 ,n(C)=27 ,n(AnnB...

    Text Solution

    |

  9. If statements p and q take truth values as T T ,T F ,F T ,F F in order...

    Text Solution

    |

  10. All letters of the word 'RACHIT' are permuted in all possible ways ...

    Text Solution

    |

  11. The sum of the series 1+4+3+6+5+8+ upto n term when n is an even numbe...

    Text Solution

    |

  12. The positive integers p ,q and r are all primes if p^2 − q^2 = r , t...

    Text Solution

    |

  13. The marks of some students were listed out of a maximum 75. The SD ...

    Text Solution

    |

  14. If angles A,B, and C of a triangle ABC are in A.P. and if (b)/(c) = (s...

    Text Solution

    |

  15. If (x1, y1) be the centroid of the triangle formed by a line L and c...

    Text Solution

    |

  16. The value of sin^(-1) (cot(sin^(-1) sqrt((2 -sqrt3)/(4)) + cos^(-1)....

    Text Solution

    |

  17. Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=...

    Text Solution

    |

  18. The greatest integral value of m for which the point of intersection...

    Text Solution

    |

  19. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  20. if lim(h->0) [f(a-h)/f(a)]=c where f(x) is a continuous function s...

    Text Solution

    |