Cartesian form

[samsiexD]

I have to simplify [2(cos(30)+sin(30)]^9 and express it in the form x+yi ( cartesian form)
This is what ive attempted so far

[2(cos(30)+sin(30)]^9
=(2cos(π/6)+2sin(π/6))^9
=(2cis(π/6))^9
=2cis(π/60x9)
=2cis(3π/20)

I stopped there because it didn't look right, can someone help me out please :/

[Jaswinder]

is it -512i

[Daenerys Targaryen]

is there suppose to be an i in the eqn?

[Bad Student]

I have to simplify [2(cos(30)+sin(30)]^9 and express it in the form x+yi ( cartesian form)
This is what ive attempted so far

[2(cos(30)+sin(30)]^9
=(2cos(π/6)+2sin(π/6))^9
=(2cis(π/6))^9You stuffed up here. It should be

=2cis(π/60x9)
=2cis(3π/20)



I stopped there because it didn't look right, can someone help me out please :/

[samsiexD]

Oh i see it now i didnt raise 2 to the power of 9

Jaswinder i got -512i too

Thanks for the help