Solution 4.4:3b - Revision history

Tek at 12:52, 13 October 2008

2008-10-13T12:52:53Z

←Older revision		Revision as of 12:52, 13 October 2008
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-	We see directly that	+	We see directly that <math>x = \pi/5</math> is a solution to the equation, and using the unit circle we can also draw the conclusion that <math>x = \pi - \pi/5 = 4\pi/5</math> is the only other solution between <math>0</math> and <math>2\pi\,</math>.
-	<math>x=~~\frac{~~\pi }{5}</math>	+
-	is a solution to the equation, and using the unit circle we can also draw the conclusion that	+
-	<math>x=\pi -~~\frac{~~\pi }{5}=~~\frac{~~4\pi }{5}</math>	+
-	is the only other solution between	+
-	<math>0</math>	+
-	and	+
-	<math>~~\text{~~2}\pi </math>.	+
-		+

	[[Image:4_4_3_b.gif\|center]]		[[Image:4_4_3_b.gif\|center]]

-	We obtain all solutions to the equation when we add integer multiples of	+	We obtain all solutions to the equation when we add integer multiples of <math>2\pi\, </math>,
-	<math>~~\text{~~2}\pi </math>,	+

-		+	{{Displayed math\|\|<math>x = \frac{\pi}{5} + 2n\pi\qquad\text{and}\qquad x = \frac{4\pi}{5} + 2n\pi\,,</math>}}
-	<math>x=\frac{\pi }{5}+2n\pi ~~</math>~~	+
-	and	+
-	~~<math>~~x=\frac{4\pi }{5}+2n\pi </math>	+

-		+	where ''n'' is an arbitrary integer.
-	where	+
-	~~<math>~~n~~</math>~~	+
-	is an arbitrary integer.	+

2008-10-01T09:43:36Z

←Older revision		Revision as of 09:43, 1 October 2008
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-	{{~~NAVCONTENT_START~~}}	+	We see directly that
-	<~~center~~> ~~[[Image:4_4_3b.gif]]~~ </~~center~~>	+	<math>x=\frac{\pi }{5}</math>
-	{~~{NAVCONTENT_STOP}~~}	+	is a solution to the equation, and using the unit circle we can also draw the conclusion that
		+	<math>x=\pi -\frac{\pi }{5}=\frac{4\pi }{5}</math>
		+	is the only other solution between
		+	<math>0</math>
		+	and
		+	<math>\text{2}\pi </math>.
		+

	[[Image:4_4_3_b.gif\|center]]		[[Image:4_4_3_b.gif\|center]]
		+
		+	We obtain all solutions to the equation when we add integer multiples of
		+	<math>\text{2}\pi </math>,
		+
		+
		+	<math>x=\frac{\pi }{5}+2n\pi </math>
		+	and
		+	<math>x=\frac{4\pi }{5}+2n\pi </math>
		+
		+
		+	where
		+	<math>n</math>
		+	is an arbitrary integer.

2008-09-09T10:04:23Z

←Older revision

Revision as of 10:04, 9 September 2008

2008-08-21T07:19:19Z

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2008-08-19T12:46:00Z

2008-04-03T12:31:01Z

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