High School






12. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 8.3.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the product 2122 and the quotient Express your answers in polar form. 22 21 = = 4(cos(1) +

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))

Learn more about product and quotient in polar form here:

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