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What is the polar form of 7 √ 3-7i

User AakashM
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1 Answer

4 votes

Answer:

14(cos(330)+isin(330))

Explanation:

step1: determine the modulus using the formula |z|=√(a²+b²)

|z|= √((7√3)² + (-7)²) = √196 = 14

step2: determine the argument using the formula θ=tan⁻¹(y/x)

θ= tan⁻¹(-7/7√3) = (-1/√3) --> rationalize the denominator by multiplying top and bottom by √3 to get: -√3/3

the tangent value on the unit circle that is -√3/3 is 330 degrees in quadrant iv

then put it together :p

User Claudioz
by
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