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STALIN [3.7K]
2 years ago
12

This is converting to polar form, I need help and the answer too.

Mathematics
1 answer:
Mila [183]2 years ago
7 0

Answer:

2 cis (7/6 pi)

Step-by-step explanation:

r = sqrt( a^2 + b^2)

r = sqrt (-sqrt(3) )^2 + (-1)^2)

   = sqrt(3 +1)

    = sqrt(4)

    = 2

theta  = arctan (b/a)

theta = arctan (-1/-sqrt(3))

theta = 30

but this is in the third quardrant  -a and -b

so add 180

theta = 210 degrees

convert this to radians

210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi


r cis (theta)

2 cis (7/6 pi)

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