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Solution 4.3:4d

From Förberedande kurs i matematik 1

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With the formula for double angles and the Pythagorean identity cos2v+sin2v=1, we can express cos2v in terms of cosv,

cos2v=cos2v−sin2v=cos2v−(1−cos2v)=2cos2v−1=2b2−1.
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