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.
Step 4
Substitute the actual values of and .
Step 5
Find .
Tap for more steps...
Step 5.1
Raise to the power of .
Step 5.2
Raise to the power of .
Step 5.3
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 second quadrant, the value of the angle is .
Step 8
Substitute the values of and .
Enter YOUR Problem
Mathway requires javascript and a modern browser.