Question 395841
{{{z}}} is the unit vector that spins around the complex plane 
with one end at the origin.
The information 
(π)/(2)≤θ≤&#960is just telling you that 
the unit vector is somewhere in the 2nd quadrant, past
90 degrees, but not beyond 180 degrees.
given:
{{{cos(theta) = -8/22}}}
I need to find 
The amplitude of the vertical component is 
{{{sqrt(1 - (8/22)^2)}}} 
{{{sqrt((22^2/22^2) - (8/22)^2)}}}
{{{(1/22)*sqrt(22^2 - 8^2)}}}
{{{(1/22)*sqrt(484 - 64)}}}
{{{(1/22)*sqrt(420)}}}
{{{.9315}}} is the imaginary amplitude
{{{-8/22 =- .3636}}} real part
{{{z}}} in standard form is:
{{{-.3636 + .9315i}}}
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The angle whose cos = -.3636 is {{{76.3}}} degrees
{{{180 - 76.3 = 103.69}}} degrees
{{{z}}} at 104 degrees answer
Hopefully, I got it right