Linear Algebra Examples

Convert to Trigonometric Form
Step 1
Reorder and .
Step 2
This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.
Step 3
The modulus of a complex number is the distance from the origin on the complex plane.
where
Step 4
Substitute the actual values of and .
Step 5
Find .
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Raise to the power of .
Raise to the power of .
Add and .
Step 6
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Step 7
Since inverse tangent of produces an angle in the first quadrant, the value of the angle is .
Step 8
Substitute the values of and .
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