How to solve to the power of 35

solitude

New member

should I put like -(1/2+i sqrt(3)/2)^35 here

Jomo

Elite Member
Can you explain why the minus appeared outside?

Hint: eit = cos(t) + i sin(t) and [cos(t) + isin(t)]35 = cos(t/35) + isin(t/35)

You need to find t such that cos(t) = 1/2 and cos(t) = sqrt(3)/2

blamocur

Full Member
Can you explain why the minus appeared outside?

Hint: eit = cos(t) + i sin(t) and [cos(t) + isin(t)]35 = cos(t/35) + isin(t/35)

You need to find t such that cos(t) = 1/2 and cos(t) = sqrt(3)/2
This looks like a typo: cos(t/35) + isin(t/35) -- should not it be cos(35t)+i*sin(35t) ?

pka

Elite Member
View attachment 29892
should I put like -(1/2+i sqrt(3)/2)^35 here
With all this type of question we first need the argument.
If [imath]z= \left( {\dfrac{1}{2} -{\bf i}\dfrac{{\sqrt 3 }}{2}} \right)[/imath] then so that [imath]\arg(z)=-\dfrac{\pi}{3}~\&~|z|=1[/imath]. What is [imath]z^{35}=?[/imath]