A $60^\circ$ rotation around the origin in the counter-clockwise direction is applied to $3 \sqrt{3} - 5i.$  What is the resulting complex number?
Question:
A $60^\circ$ rotation around the origin in the counter-clockwise direction is applied to $3 \sqrt{3} - 5i.$  What is the resulting complex number?
Answer:
Let's think step by step.

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4 \sqrt{3} + 2i
A $60^\circ$ rotation around the origin in the counter-clockwise direction is applied to $3 \sqrt{3} - 5i.$  What is the resulting complex number?
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