Mathematics: Find the rectangular form of the complex number given below. use whatever identities are necessary to find the exact values. z = 2 cis 7π/8

Find the rectangular form of the complex number

Ответ:

kayleahwilliams6

15.03.2022

The complex number is :

$z=2 \ cis ( \frac{7 \pi }{8} )=2(\cos\frac{7 \pi }{8} +i \sin \frac{7 \pi }{8})$ .

Writing this point in the real x-y axis plane, we have:

$(x, y)=(2\cos\frac{7 \pi }{8} , 2 \sin \frac{7 \pi }{8})$ .

$\frac{7 \pi }{8}$ radians = (7/8)*180°=157.5°. We can find that:

cos(157.5°)=-0.924, so 2cos(157.5°)=-1.85

sin(157.5°)=0.383, so 2sin(157.5°)=0.77.

(-1.85, 0.77)

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Ответ:

7obadiah

20.04.2020

Mathematics

It should be 0

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Find the rectangular form of the complex number given below. use whatever identities are necessary to find the exact values. z = 2 cis 7π/8

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