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2 years ago

Using De-Moivre's theorem, prove that i^2= -1.

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

3 0

Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have

i = exp(i π/2) = cos(π/2) + i sin(π/2)

By DeMoivre's theorem,

i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)

and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.

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Free_Kalibri [48]

Answer:

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Step-by-step explanation:

Ratios

Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

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Thus,

$\displaystyle n=\frac{1,750}{200}$

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Since we cannot have 8.75 glasses, we round to the previous integer, then:

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vichka [17]

Answer:

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Step-by-step explanation:

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Yuliya22 [10]

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Step-by-step explanation:

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2 years ago

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hram777 [196]

Answer:

Step-by-step explanation:

to solve this system of equations we will add them

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2 years ago

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Ilya [14]

Answer:

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Step-by-step explanation:

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2 years ago

Using De-Moivre's theorem, prove that i^2= -1.​

Using De-Moivre's theorem, prove that i^2= -1.