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erastovalidia [21]
3 years ago
9

What economic advantages did the north have over the south

History
1 answer:
notsponge [240]3 years ago
3 0
<span>Despite the North's greater population, however, the South had an army almost equal in size during the first year of the war. The North had an enormous industrial advantage as well. At the beginning of the war, the Confederacy had only one-ninth the industrial capacity of the Union. But that statistic was misleading.</span>
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23. Find the exact value of cos(20) knowing that: *
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Answer:

\cos(2\theta) = 0

Explanation:

Given

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

270^o < \theta < 360^o

Required

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

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Collect like terms

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

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\cos(2\theta) is calculated as:

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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

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