SOLUTION: express 2(cos300 dwgrees + i sin300 degrees) in rectangular form

Algebra ->  Trigonometry-basics -> SOLUTION: express 2(cos300 dwgrees + i sin300 degrees) in rectangular form      Log On


   

Question 219547: express 2(cos300 dwgrees + i sin300 degrees) in rectangular form
Found 2 solutions by jim_thompson5910, jsmallt9:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that any point in polar form is basically in the form .


To convert to rectangular form , just use the equations and

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
To convert from polar to rectangular use the equations (using "t" instead of theta because Algebra.com's formula software doesn't draw theta):
x+=+r%2Acos%28t%29 and y+=+r%2Asin%28t%29
Since you r is 2 and cos%28300%29+=+1%2F2 and sin%28300%29+=+-sqrt%283%29%2F2 we get:
x+=+2%281%2F2%29+=+1 and y+=+2%28-sqrt%283%29%2F2%29+=+-sqrt%283%29
So 2%28cos%28300%29+%2B+i%2Asin%28300%29%29 in rectangular form is (1, -sqrt%283%29i).