Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is 
, so the polar form of that number is (18, 
)
Alright, so if we wanted to take, for example, cell phone owners per 100 people and compare Germany to the USA, we can start by making up a number for Germany - 80 - and a number for the USA - 70. Next, the ratio of people using cell phones is 80/70=8/7 with the numerator being the people from Germany and the denominator being the number from the USA.
If tan α = 0
α = tan^(-1) 0
α = k π , k ∈ Z ( any integer ), π = 180°
0 · 180° = 0
1 · 180° = 180°
2 · 180° = 360°
3 · 180° = 540°
Answer:
Angles are: 0°, 180°, 360°, 540°.
Hello,
The answer is "Evan 2/3".
Reason:
2 2
_>
3 4
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
