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klasskru [66]
4 years ago
8

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1 answer:
taurus [48]4 years ago
6 0
What is the question or the point of this problem
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C

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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

\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
What were the main differences between the German states?
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Answer:was the founder of the Durrani Empire and is regarded as the founder of the modern state of Afghanistan. ... After the assassination of Nader Shah Afshar in 1747, Ahmad Shah Durrani was chosen as King of Afghanistan.

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Explanation:

Hope this helps :P

8 0
3 years ago
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