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
what will be the angle for the following equation (0.9644+1.0342 i)(0.0349+2 i)
3 answers
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
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
I made an error in multiplying the two i terms
go with Steve's solution
go with Steve's solution