How can you use trigonometric functions to simplify # 10 e^( ( 4 pi)/3 i ) # into a non-exponential complex number?
1 Answer
Mar 3, 2016
Explanation:
using
#color(blue)" Euler's relationship "# which states :
#re^(theta i) = r [costheta + isintheta ]# here r = 10 and
#theta = (4pi)/3#
#rArr10e^((4pi)/3 i) = 10 [ cos( (4pi)/3) + isin((4pi)/3) ]#
