Question

For the following, write the product $wv$ in polar (trigonometric) form. Then, write the product in form $a + bi$, where $a$ and $b$ are real numbers and do not involve a trigonometric function.\ $w = 2\left(\cos\left(\frac{7\pi}{10}\right) + i\sin\left(\frac{7\pi}{10}\right)\right)$, $v = 4.4\left(\cos\left(\frac{2\pi}{5}\right) + i\sin\left(\frac{2\pi}{5}\right)\right)$\ $wv = $ \\ $wv = $ (Rectangular form) (Round numbers to four decimal places.)

          For the following, write the product $wv$ in polar (trigonometric) form. Then, write the product in form $a + bi$, where $a$ and $b$ are real numbers and do not involve a trigonometric function.\
$w = 2\left(\cos\left(\frac{7\pi}{10}\right) + i\sin\left(\frac{7\pi}{10}\right)\right)$, $v = 4.4\left(\cos\left(\frac{2\pi}{5}\right) + i\sin\left(\frac{2\pi}{5}\right)\right)$\
$wv = $ \\
$wv = $ (Rectangular form) (Round numbers to four decimal places.)

For the following, write the product wv in polar (trigonometric) form. Then, write the product in form a + bi, where a and b are real numbers and do not involve a trigonometric function.w = 2(cos((7π)/(10)) + isin((7π)/(10))), v = 4.4(cos((2π)/(5)) + isin((2π)/(5)))wv =

wv = (Rectangular form) (Round numbers to four decimal places.)

Added by Derek V.

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Instant Answer

Solved by Expert Foster Wisusik

07/07/2020

Step 1

4\left(\cos\left(\frac{2\pi}{5}\right) + i\sin\left(\frac{2\pi}{5}\right)\right)$. To find the product $wv$, we multiply the magnitudes and add the arguments: $wv = 2(4.4)\left[\cos\left(\frac{7\pi}{10} + \frac{2\pi}{5}\right) + i\sin\left(\frac{7\pi}{10} + Show more…

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For the following, write the product $wv$ in polar (trigonometric) form. Then, write the product in form $a + bi$, where $a$ and $b$ are real numbers and do not involve a trigonometric function. $w = 2\left(\cos\left(\frac{7\pi}{10}\right) + i\sin\left(\frac{7\pi}{10}\right)\right)$, $v = 4.4\left(\cos\left(\frac{2\pi}{5}\right) + i\sin\left(\frac{2\pi}{5}\right)\right)$ $wv = \text{________}$ (Polar form) $wv = \text{________}$ (Rectangular form) (Round numbers to four decimal places.)