From Förberedande kurs i matematik 1

Revision as of 09:54, 9 September 2008 (edit) Tekbot (Talk | contribs) m (Lösning 4.3:4c moved to Solution 4.3:4c: Robot: moved page) ← Previous diff		Current revision (14:12, 9 October 2008) (edit) (undo) Tek (Talk | contribs) m
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-	{{NAVCONTENT_START}}	+	The formula for double angles gives
-	<center> [[Image:4_3_4c.gif]] </center>	+
-	{{NAVCONTENT_STOP}}	+	{{Displayed math||<math>\sin 2v=2\sin v\cos v</math>}}
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		+	and from exercise b, we have <math>\sin v = \sqrt{1-b^2}\,</math>. Thus,
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		+	{{Displayed math||<math>\sin 2v = 2b\sqrt{1-b^2}\,\textrm{.}</math>}}

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Current revision

The formula for double angles gives

\displaystyle \sin 2v=2\sin v\cos v

and from exercise b, we have \displaystyle \sin v = \sqrt{1-b^2}\,. Thus,

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