SOLUTION: how do you undo rcis theta? if you have a problem such as 4(cos pi/4 + i sin pi/4) how would you put that back into a +bi? im not asking for an answer, rather the method to do t

Question 293596: how do you undo rcis theta?
if you have a problem such as 4(cos pi/4 + i sin pi/4) how would you put that back into a +bi?
im not asking for an answer, rather the method to do the problem
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: For any polar number in the form , where 'r' is the magnitude and 'x' is the angle, it can be converted into rectangular form using the following equations:

1) (this can be seen if you draw out a triangle with sides 'a', 'b', and hypotenuse 'r')

2) (again this can be seen with a drawing of the triangle) Note: since 'b' is the vertical side, this is the side opposite from the angle 'x'

So in this case, and meaning that and . You'll then find that you'll have two equations and two unknowns which means that you can solve for both 'a' and 'b'.

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