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Answer :
Final answer:
The product of 2122 and 21 in polar form is 2(cos(1) + i sin(1)), and the quotient is also 2(cos(1) + i sin(1)).
Explanation:
To find the product of two complex numbers in polar form, we multiply their magnitudes and add their arguments. Let's consider the given numbers:
Number 1: 2122 = 2(cos(1) + i sin(1))
Number 2: 21 = 1(cos(0) + i sin(0))
To find the product, we multiply the magnitudes and add the arguments:
Magnitude of 2122 = 2
Magnitude of 21 = 1
Argument of 2122 = 1
Argument of 21 = 0
Product = (2 * 1)(cos(1 + 0) + i sin(1 + 0)) = 2(cos(1) + i sin(1))
Now, let's find the quotient:
To find the quotient, we divide the magnitudes and subtract the arguments:
Quotient = (2 / 1)(cos(1 - 0) + i sin(1 - 0)) = 2(cos(1) + i sin(1))
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