Respuesta :

Answer:

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

Step-by-step 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

Answer:

D) 14(cos(330) + i sin(330))

Q&A Education