Solution 4.3:4a

From Förberedande kurs i matematik 1

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Current revision (14:07, 9 October 2008) (edit) (undo)
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The Pythagorean identity
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The Pythagorean identity <math>\cos^2 v + \sin^2 v = 1</math> gives us directly that
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<math>\cos ^{2}v+\sin ^{2}v=1</math>
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gives us directly that
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{{Displayed math||<math>\sin^2 v = 1-\cos^2 v = 1-b^2\,\textrm{.}</math>}}
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<math>\sin ^{2}v=1-\cos ^{2}v=1-b^{2}</math>
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Current revision

The Pythagorean identity \displaystyle \cos^2 v + \sin^2 v = 1 gives us directly that

\displaystyle \sin^2 v = 1-\cos^2 v = 1-b^2\,\textrm{.}