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Murljashka [212]
3 years ago
13

What became of the Eastern Roman Empire after the collapse of the Western Roman Empire

History
1 answer:
barxatty [35]3 years ago
5 0
Byzantine empire continued in the East after the fall of the Western Roman Empire.
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Which statement describes Dutch ambitions in the Americas in the seventeenth century
sweet-ann [11.9K]

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6 0
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23. Find the exact value of cos(20) knowing that: *
Kaylis [27]

Answer:

\cos(2\theta) = 0

Explanation:

Given

\sin(\theta) = -\frac{\sqrt 2}{2}

270^o < \theta < 360^o

Required

\cos(2\theta)

Recall that:

\sin^2(\theta) +  \cos^2(\theta) =1

Substitute: \sin(\theta) = -\frac{\sqrt 2}{2}

(-\frac{\sqrt 2}{2})^2 +  \cos^2(\theta) =1

\frac{1}{2} +  \cos^2(\theta) =1

Collect like terms

\cos^2(\theta) =1-\frac{1}{2}

\cos^2(\theta) =\frac{1}{2}

\cos(2\theta) is calculated as:

\cos(2\theta) = \cos^2(\theta) - \sin^2(\theta)

So, we have:

\cos(2\theta) = \frac{1}{2} - (-\frac{\sqrt 2}{2})^2

\cos(2\theta) = \frac{1}{2} - \frac{2}{4}

\cos(2\theta) = \frac{1}{2} - \frac{1}{2}

\cos(2\theta) = 0

7 0
3 years ago
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