If
, then
and
because
lies in the fourth quadrant.
By DeMoivre's theorem,

so the answer is B.
Answer:
z/8
Step-by-step explanation:
cuz it says z and 8 in that order so z/8 please dont just ignore give me 5 star and thanks dont ignore if u do i will never help you
Answer:
Length of the side AC is 12 units.
Step-by-step explanation:
Here, in the triangle ABC
Base = 5 units
Let, Perpendicular = k units
Hypotenuse = 13 units
In a Right angle triangle, by PYTHAGORAS THEOREM:

Similarly, in triangle ABC

or, 
⇒
⇒ k = 12, or k= -12
But as k is the length of a side of a triangle so, k ≠ -12
⇒ k = 12
Hence, the length of the side AC = 12 units.
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
Answer:
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