Home
Class 11
MATHS
Give the following in polar form : [3(...

Give the following in polar form :
`[3(cos 225^@ + i sin 225^@)] [6(cos 45^@+i sin 45^@)]`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

Similar Questions

Explore conceptually related problems

Give the following in polar form : [2(cos 210^@ + i sin 210^@)] [4(cos 120^@+i sin 120^@)] .

Give the following in polar form : sin 120^@ -i cos 120^@ .

Give the following product in polar form : [2 (cos 0^@+ i sin 0^@)] [4 (cos 90^@+i sin 90^@)] .

Express the following in polar form : 3+ 4i .

Give the following quotients in polar form : (9(cos 90^@ + isin 90^@))/(3(cos45^@ + i sin 45^@)) .

Give the following quotients in polar form : (7(cos 135^@ + isin 135^@))/(14(cos 90^@ + i sin 90^@)) .

Convert the following in the polar form: (1+ 3i)/(1-2i)

Divide 12 (cos 150^@ + i sin 150^@) by 3 (cos 60^@ + i sin 60^@) .

Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
  1. Give the following in polar form : sin 120^@ -i cos 120^@.

    Text Solution

    |

  2. Give the following in polar form : [2(cos 210^@ + i sin 210^@)] [4(c...

    Text Solution

    |

  3. Give the following in polar form : [3(cos 225^@ + i sin 225^@)] [6(c...

    Text Solution

    |

  4. Give the following quotients in polar form : (9(cos 90^@ + isin 90^@...

    Text Solution

    |

  5. Give the following quotients in polar form : (7(cos 135^@ + isin 135...

    Text Solution

    |

  6. Express the following in the polar form : 1+i.

    Text Solution

    |

  7. Express the following in the polar form : -1 -i.

    Text Solution

    |

  8. Express 1+isqrt3 in polar form.

    Text Solution

    |

  9. Express the following in the polar form : (-16)/(1+ sqrt3 i).

    Text Solution

    |

  10. Show that for z in C, |z|=0 if and only if z=0.

    Text Solution

    |

  11. If z= x + iy, x, y real, prove that : |x|+|y| le sqrt2 |z|.

    Text Solution

    |

  12. Define addition and multiplication of two complex numbers z1 and z2. H...

    Text Solution

    |

  13. Define addition and multiplication of two complex numbers z1 and z2. H...

    Text Solution

    |

  14. If z1,z2 in C, show that (z1+ z2)^2= z1^2+2 z1 z2+ z2^2.

    Text Solution

    |

  15. Prove that |z1+ z2|^2= |z1|^2+ |z2|^2 if and only if (z1/z2) is purely...

    Text Solution

    |

  16. Solve the following equation : x^2 +2=0.

    Text Solution

    |

  17. Solve the following equation : x^2+x+1=0.

    Text Solution

    |

  18. Solve the following equation :- 2x^2 + x + 1 = 0

    Text Solution

    |

  19. Solve the following equation :- -x^2 + x -2 = 0

    Text Solution

    |

  20. Solve the following equation :- x^2 + 3x + 5 = 0

    Text Solution

    |