# Converting a number to rectangular form

Find the rectangular form of the complex number z=a+bi which has modulus 2 and principal argument theta = -pie/6
2cos(-pie/6) to get length of x
=sqrt3 What is the method used to get an answer in this form instead of decimal form (1.732) ?

rock.freak667
Homework Helper
Use Euler's formula

Could you please show me the steps?

Dick
Homework Helper
The complex number with modulus r and argument theta is r*exp(i*theta)=r*(cos(theta)+i*sin(theta)). exp(i*theta)=cos(theta)+i*sin(theta) is Euler's formula.

Isn't there a quicker way to do it?

Dick