# Trigonometry

what will be the angle for the following equation (0.9644+1.0342 i)(0.0349+2 i)

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1. it's not an equation, it's an expression.

Using FOIL, we have

(0.9644+1.0342 i)(0.0349+2 i) = -2.034 + 1.965i
arctan(1.966/-2.031) = 2.373

Or, using de Moivre's Formula,

(0.9644+1.0342 i) = 1.414 cis 0.8203
(0.0349+2 i) = 2.000 cis 1.5533
the product is thus 2.828 cis 2.373

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2. Your question makes little sense.
I see no equation.
Are you attempting to use De Moivre's theorem?

(0.9644+1.0342 i)(0.0349+2 i)
= .03366 + 1.9649 + .0361 i^2
= -.00244 + 1.9649

= 1.9649( cossØ + i sinØ)
where tan Ø = 1.9649/-.00244
Ø = appr 90.07° or 1.572 radians

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3. I made an error in multiplying the two i terms
go with Steve's solution

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