Question

How do you simplify [2(cos135degrees+isin135degrees)]4?

Answer 1

[2(cos(90+45) +sin(90+45)]×4

=[2(-sin30+cos45)]×4

=[2(-1/2+1/√2)]×4

(-1/2+1/√2=0.20)

=[2(-1/2+1/√2)×4]

=[2(0.20)×4]

=[0.40×4]

=1.6

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