Solution 4.4:1d - Revision history

Tek at 13:16, 10 October 2008

Tek — Fri, 10 Oct 2008 13:16:40 GMT

←Older revision		Revision as of 13:16, 10 October 2008
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-	Because	+	Because <math>\tan v = \frac{\sin v}{\cos v}</math>, the condition <math>\tan v = 1</math> gives <math>\sin v = \cos v</math>, i.e. we look for angles in the unit circle whose ''x''- and ''y''-coordinates are equal.
-	<math>\tan v=\frac{\sin v}{\cos v}</math>, the condition	+
-	<math>\~~text{~~tan }v=~~\text{~~1 }</math>	+
-	gives	+
-	<math>\~~text{~~sin }v=\~~text{~~ cos }v</math>, i.e. we look for angles in the unit circle whose	+
-	~~<math>~~x~~</math>~~	+
-	- and	+
-	~~<math>~~y~~</math>~~	+
-	-coordinates are equal.	+
-		+
-	~~After drawing the unit circle and the line y=x, we see that there are two angles which satisfy these conditions,~~	+
-	~~<math>v={\pi }/{4}\;</math>~~	+
-	~~and~~	+
-	~~<math>v=\pi +{\pi }/{4}\;={5\pi }/{4}\;</math>~~	+
-		+
-		+

		+	After drawing the unit circle and the line y=x, we see that there are two angles which satisfy these conditions, <math>v=\pi/4</math> and <math>v = \pi + \pi/4 = 5\pi/4\,</math>.

	[[Image:4_4_1_d.gif\|center]]		[[Image:4_4_1_d.gif\|center]]

Ian — Tue, 30 Sep 2008 12:38:26 GMT

←Older revision		Revision as of 12:38, 30 September 2008
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-	{{~~NAVCONTENT_START~~}}	+	Because
-	<~~center~~> ~~[[Image:4_4_1d~~.~~gif]]~~ </~~center~~>	+	<math>\tan v=\frac{\sin v}{\cos v}</math>, the condition
-	{{~~NAVCONTENT_STOP~~}}	+	<math>\text{tan }v=\text{1 }</math>
		+	gives
		+	<math>\text{sin }v=\text{ cos }v</math>, i.e. we look for angles in the unit circle whose
		+	<math>x</math>
		+	- and
		+	<math>y</math>
		+	-coordinates are equal.
		+
		+	After drawing the unit circle and the line y=x, we see that there are two angles which satisfy these conditions,
		+	<math>v={\pi }/{4}\;</math>
		+	and
		+	<math>v=\pi +{\pi }/{4}\;={5\pi }/{4}\;</math>
		+
		+


	[[Image:4_4_1_d.gif\|center]]		[[Image:4_4_1_d.gif\|center]]

Tekbot — Tue, 09 Sep 2008 10:00:43 GMT

←Older revision

Revision as of 10:00, 9 September 2008

Tekbot — Thu, 21 Aug 2008 07:17:29 GMT

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Madde — Tue, 19 Aug 2008 10:24:11 GMT

Oskar — Thu, 03 Apr 2008 12:20:59 GMT

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