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baherus [9]
4 years ago
8

Help please ...............

Mathematics
1 answer:
tamaranim1 [39]4 years ago
8 0

Answer:

Step-by-step explanation:

Well with what

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3 years ago
Write (1 + i)^10 as a complex number of the form a+ ???????????????? for real numbers aand ????????.
SashulF [63]

Answer:a=0

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Step-by-step explanation:

Given

Complex number z=\left ( 1+i\right )^{10}

any complex number is written in the form

z=re^{i\theta }

where r=magnitude

so z=\left [ \sqrt{2}\left ( \frac{1}{\sqrt{2}}+i\frac{1}{\sqrt{2}}\right )\right ]^{10}

z=\left ( \sqrt{2}\right )^{10}\left ( \cos 45+i\sin 45\right )^{10}

z=2^5\left ( e^{i\frac{\pi }{4}}\right )^{10}

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\frac{5\pi }{2}=2\pi +\frac{\pi }{2}

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z=32\left ( \cos \frac{\pi }{2}+i\sin \frac{\pi }{2}\right )

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b=32\times \sin (90)=32

5 0
3 years ago
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