(New page: Complex numbers are of the form x+iy, where x and y are real numbers. The complex number z=x+iy can be represented by a point in the Cartesian coordinate plane with abscissa x and ordinate...) |
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Complex numbers are of the form x+iy, where x and y are real numbers. The complex number z=x+iy can be represented by a point in the Cartesian coordinate plane with abscissa x and ordinate y .Then the x axis is called real axis and the y axis is called the imaginary axis. | Complex numbers are of the form x+iy, where x and y are real numbers. The complex number z=x+iy can be represented by a point in the Cartesian coordinate plane with abscissa x and ordinate y .Then the x axis is called real axis and the y axis is called the imaginary axis. | ||
Every complex number x+iy can be expressed in the form r(cos t +i sin t).This is called the polar form of the complex number. | Every complex number x+iy can be expressed in the form r(cos t +i sin t).This is called the polar form of the complex number. | ||
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| + | some basic operations: | ||
| + | |||
| + | Addition | ||
| + | To add complex numbers in rectangular form, add the real components in order to get the real part of the result and add the imaginary components to get the imaginary part. | ||
| + | |||
| + | Multiplication | ||
| + | To multiply the numbers in the polar forms in the polar form multiply the magnitudes and add the angles. | ||
Revision as of 14:30, 5 September 2008
Complex numbers are of the form x+iy, where x and y are real numbers. The complex number z=x+iy can be represented by a point in the Cartesian coordinate plane with abscissa x and ordinate y .Then the x axis is called real axis and the y axis is called the imaginary axis. Every complex number x+iy can be expressed in the form r(cos t +i sin t).This is called the polar form of the complex number.
some basic operations:
Addition To add complex numbers in rectangular form, add the real components in order to get the real part of the result and add the imaginary components to get the imaginary part.
Multiplication To multiply the numbers in the polar forms in the polar form multiply the magnitudes and add the angles.
