From the de Moivre's we have,
<span>
(cosθ+isinθ)^n=cos(nθ)+isin(nθ)
</span><span>
Therefore,
</span><span>
R((cosθ+isinθ)^5)=cos(5θ)I((cosθ+isinθ)^5)=sin(5θ)
</span><span>
Simplifying,
</span><span>
cos^5(θ)−10(sin^2(θ))(cos^3(θ))+5(sin^4(θ))(cosθ)=cos(5θ) </span><span>
</span>
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

Answer:
D is wrong its C
Step-by-step explanation:
I just took the test and c was wrong its D and if its neither let me know.
Answer:
Kip left with
pounds of toffee
Step-by-step explanation:
Kip bought one and four sixths pounds of toffee. He gave five sixths of a pound to his friend
Kip bought 1 4/6 pounds of toffee
Convert mixed fraction into an improper fraction

Kip bought 10/6 of toffee
He gave
of toffee to his friend
So we subtract 5/6 from 10/6

Kip left with
pounds of toffee