PRECALC QUESTION! Convert the polar representation of this complex number into its standard form: z = 2(cos 11pi/6+ i sin 11pi/6
)? A. sqrt(3) -i B. 1- sqrt(3) i C. -sqrt(3)/ 2 -(1/2) i D. -sqrt(3) + i
2 answers:
Answer:
Option A - 
Step-by-step explanation:
Given : Polar representation of complex number ![z=2[\cos( \frac{11\pi }{6}) + i\sin( \frac{11\pi }{6} )]](https://tex.z-dn.net/?f=z%3D2%5B%5Ccos%28%20%5Cfrac%7B11%5Cpi%20%7D%7B6%7D%29%20%2B%20i%5Csin%28%20%5Cfrac%7B11%5Cpi%20%7D%7B6%7D%20%29%5D)
To find : Convert the polar representation of this complex number into its standard form?
Solution :
![z=2[\cos(\frac{11\pi }{6}) + i\sin(\frac{11\pi }{6})]](https://tex.z-dn.net/?f=z%3D2%5B%5Ccos%28%5Cfrac%7B11%5Cpi%20%7D%7B6%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B11%5Cpi%20%7D%7B6%7D%29%5D)
The given complex number is in the form, 
Where, r=2 and 
The standard form of complex number is z=x+iy
Where, 
Therefore, Option A is correct.
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Answer:
24
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The answer is -3 for the problem
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