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Genrish500 [490]
3 years ago
15

Which European country gained control of the Suez Canal, even though it did not finance or participate in its construction? A. G

ermany B. Belgium C. Netherlands D. Great Britain
History
1 answer:
Black_prince [1.1K]3 years ago
7 0
Great Britain gained control of the Suez Canal in 1875 even though it did not finance or participate in its construction. Egypt found themselves in debt so they sold their shares of the Suez Canal to Great Britain. 
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Answer:

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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

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Collect like terms

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

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

\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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