NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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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
Approx 3 minutes
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Find $\left(3\left(\cos180^\circ+i\sin180^\circ\right)\right)^2$(3(cos180°+isin180°))2.

Give your answer in rectangular form.

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

Give your answer in rectangular form.

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

Give your answer in rectangular form.

Outcomes

M8-9

Manipulate complex numbers and present them graphically

91577

Apply the algebra of complex numbers in solving problems

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