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India
Class XI

Powers of Complex Numbers in Polar Form

Interactive practice questions

Find $\left(\cos40^\circ+i\sin40^\circ\right)^9$(cos40°+isin40°)9.

Give your answer in rectangular form.

Easy
2min

Find $\left(3\left(\cos180^\circ+i\sin180^\circ\right)\right)^2$(3(cos180°+isin180°))2.

Give your answer in rectangular form.

Easy
1min

Find $\left(5\left(\cos30^\circ+i\sin30^\circ\right)\right)^3$(5(cos30°+isin30°))3.

Give your answer in rectangular form.

Easy
1min

Find $\left(2\left(\cos60^\circ+i\sin60^\circ\right)\right)^6$(2(cos60°+isin60°))6.

Give your answer in rectangular form.

Easy
< 1min
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Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

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