PRECALC QUESTION!
Convert the polar representation of this complex number into its standard form:
z = 2(cos 11pi/6+ i sin 11pi/6)?

A. sqrt(3) -i
B. 1- sqrt(3) i
C. -sqrt(3)/ 2 -(1/2) i
D. -sqrt(3) + i

Question

PRECALC QUESTION!
Convert the polar representation of this complex number into its standard form:
z = 2(cos 11pi/6+ i sin 11pi/6)?

A. sqrt(3) -i
B. 1- sqrt(3) i
C. -sqrt(3)/ 2 -(1/2) i
D. -sqrt(3) + i

psymon · Answer

Find the cos and sin of 11pi/6 and substitute that inside of the parenthesis, then just distribute the 2 inside.

avanti · Answer

I dont know how.. I'm getting a weird answer

psymon · Answer

DO you know the values of cos and sin at 11pi/6?

avanti · Answer

yes cos 11pi/6 is sqrt(3) /2 and sin is (-1/2)

psymon · Answer

Correct. So then we would substitute that and have. 
$$2(\frac{ \sqrt{3} }{ 2}-i \frac{ 1 }{ 2 })$$ Now just multiply the 2 in :3

avanti · Answer

Ohh okay got it, thank you!! :D

psymon · Answer

Yep, not that bad :P

psymon · Answer

Good luck ^_^