By DeMoivre's theorem,
(3 (cos(5<em>π</em>/6) + <em>i</em> sin(5<em>π</em>/6)))⁴ = 3⁴ (cos(4×5<em>π</em>/6) + <em>i</em> sin(4×5<em>π</em>/6))
… = 81 (cos(20<em>π</em>/6) + <em>i</em> sin(20<em>π</em>/6))
… = 81 (cos(10<em>π</em>/3) + <em>i</em> sin(10<em>π</em>/3))
… = 81 (cos(-2<em>π</em>/3) + <em>i</em> sin(-2<em>π</em>/3))
… = 81 (cos(2<em>π</em>/3) - <em>i</em> sin(2<em>π</em>/3))
… = 81 (-1/2 + √3/2 <em>i </em>)
… = -81/2 + 81√3/2 <em>i</em>
Answer:
My closest calculation is 74 minutes
Step-by-step explanation:
08 : 59.52
min : sec
Speed
0.1112 miles per minute
=
6.67 miles per hour
Anika walked farther than kyle? i don’t see a question here
Answer:
true
Step-by-step explanation:
1/2 (sin(x+y)+sin(x-y))
= 1/2 (sin x cos Y + cos x sin y + sin x cos y - cos x sin y)
= 1/2 * 2 sin x cos y
= sin x cos y
The expression is true.