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Solution 4.3:4b

From Förberedande kurs i matematik 1

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If we once again use the Pythagorean identity we get

cos2v+sin2v=1sinv=1cos2v. 

Because the angle v lies between 0 and , sinv is positive (an angle in the first and second quadrants has a positive y-coordinate) and therefore

sinv=+1cos2v=1b2.