5.6 - De Moivre’s Theorem
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Practice Questions
Test your understanding with targeted questions
Express (cos(30°) + isin(30°))^2 in terms of cosine and sine.
💡 Hint: Use the angle doubling property.
State De Moivre's Theorem.
💡 Hint: Recall the formula involving cosine and sine.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does De Moivre's Theorem state?
💡 Hint: Remember the relationship with powers and how angles are manipulated.
True or False: De Moivre's Theorem applies only to real numbers.
💡 Hint: Think about where complex numbers come into play.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using De Moivre's Theorem, compute (cos(30°) + i*sin(30°))^6 and provide the answer in rectangular form.
💡 Hint: Remember to multiply the angle accordingly.
Find all cube roots of the complex number 8 using De Moivre's Theorem and provide their polar forms.
💡 Hint: You can draw the roots on a circle in the complex plane.
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