Use the Unit Circle and the formulas r= a 2 + b 2 − − − − − − √ r=a2+b2 and θ:( a r , b r ) θ:(ar,br) to convert the following complex number into its trig form: −2+2i

Question

must be in trig form please help

Answer 1

r = 2√2

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Θ = is in QII with a reference angle of π/4 (tan^-1(b/a)), so Θ = 3π/4.

-2 + 2i = 2√2 cis(3π/4)