To divide two complex numbers in trigonometric form, you divide the magnitudes and subtract the angles.

The magnitude of the first complex number is 10 and its angle is 57°. The magnitude of the second complex number is 4 and its angle is 39°.

Step 1: Divide the magnitudes
10 ÷ 4 = 2.5

Step 2: Subtract the angles
57° - 39° = 18°

So, the result of the division is 2.5(cos(18°) + i sin(18°)).

Question

To divide two complex numbers in trigonometric form, you divide the magnitudes and subtract the angles.

The magnitude of the first complex number is 10 and its angle is 57°. The magnitude of the second complex number is 4 and its angle is 39°.

Step 1: Divide the magnitudes
10 ÷ 4 = 2.5

Step 2: Subtract the angles
57° - 39° = 18°

So, the result of the division is 2.5(cos(18°) + i sin(18°)).

Knowee AI · Accepted Answer

To divide two complex numbers in trigonometric form, you divide the magnitudes and subtract the angles.

The magnitude of the first complex number is 10 and its angle is 57°. The magnitude of the second complex number is 4 and its angle is 39°.

Step 1: Divide the magnitudes
10 ÷ 4 = 2.5

Step 2: Subtract the angles
57° - 39° = 18°

So, the result of the division is 2.5(cos(18°) + i sin(18°)).

Divide. Leave your answer in trigonometric form. 10(cos(57°) + i sin(57°))4(cos(39°) + i sin(39°))