Solution 4.2:3a - Revision history

Tek at 07:45, 9 October 2008

Tek — Thu, 09 Oct 2008 07:45:27 GMT

←Older revision		Revision as of 07:45, 9 October 2008
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-	A useful technique for calculating the value of a trigonometric function for angles that don't lie between	+	A useful technique for calculating the value of a trigonometric function for angles that don't lie between <math>0</math> and <math>{\pi }/{2}\;</math> is to use the unit circle. If we draw a line which starts at the origin and makes a certain angle relative to the positive part of the ''x''-axis, we can see that the cosine of that angle is the ''x''-coordinate of the point of intersection between the line and the unit circle. In the same way, the sine of the angle is the ''y''-coordinate of the intersection point.
-	<math>0</math>	+
-	and	+
-	<math>{\pi }/{2}\;</math>	+
-	is to use the unit circle. If we draw a line which starts at the origin and makes a certain angle relative to the positive part of the	+
-	~~<math>~~x~~</math>~~	+
-	-axis, we can see that the cosine of that angle is the	+
-	~~<math>~~x~~</math>~~	+
-	-coordinate of the point of intersection between the line and the unit circle. In the same way, the sine of the angle is the	+
-	~~<math>~~y~~</math>~~	+
-	-coordinate of the intersection point.	+
-		+

	[[Image:4_2_3_a1.gif\|center]]		[[Image:4_2_3_a1.gif\|center]]
-	In this case, we see immediately that
-	<math>\text{sin}\left( -\frac{\pi }{2} \right)\text{ }=\text{ }-\text{1}</math>.
-

		+	In this case, we see immediately that <math>\sin\Bigl(-\frac{\pi}{2}\Bigr) = -1\,</math>.

	[[Image:4_2_3_a2.gif\|center]]		[[Image:4_2_3_a2.gif\|center]]

Ian at 11:47, 28 September 2008

Ian — Sun, 28 Sep 2008 11:47:35 GMT

←Older revision		Revision as of 11:47, 28 September 2008
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-	{{~~NAVCONTENT_START}~~}	+	A useful technique for calculating the value of a trigonometric function for angles that don't lie between
-	<~~center~~> ~~[[Image:4_2_3a~~.~~gif]]~~ </~~center~~>	+	<math>0</math>
-	~~{{NAVCONTENT_STOP}}~~	+	and
		+	<math>{\pi }/{2}\;</math>
		+	is to use the unit circle. If we draw a line which starts at the origin and makes a certain angle relative to the positive part of the
		+	<math>x</math>
		+	-axis, we can see that the cosine of that angle is the
		+	<math>x</math>
		+	-coordinate of the point of intersection between the line and the unit circle. In the same way, the sine of the angle is the
		+	<math>y</math>
		+	-coordinate of the intersection point.
		+
		+
	[[Image:4_2_3_a1.gif\|center]]		[[Image:4_2_3_a1.gif\|center]]
		+	In this case, we see immediately that
		+	<math>\text{sin}\left( -\frac{\pi }{2} \right)\text{ }=\text{ }-\text{1}</math>.
		+
		+
		+
	[[Image:4_2_3_a2.gif\|center]]		[[Image:4_2_3_a2.gif\|center]]

Tekbot: Lösning 4.2:3a moved to Solution 4.2:3a: Robot: moved page

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

Lösning 4.2:3a moved to Solution 4.2:3a: Robot: moved page

←Older revision

Revision as of 09:43, 9 September 2008

Tekbot: Robot: Automated text replacement (-[[Bild: +[[Image:)

Tekbot — Thu, 21 Aug 2008 07:08:59 GMT

Robot: Automated text replacement (-[[Bild: +[[Image:)

←Older revision		Revision as of 07:08, 21 August 2008
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	{{NAVCONTENT_START}}		{{NAVCONTENT_START}}
-	<center> [[~~Bild~~:4_2_3a.gif]] </center>	+	<center> [[Image:4_2_3a.gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
-	[[~~Bild~~:4_2_3_a1.gif\|center]]	+	[[Image:4_2_3_a1.gif\|center]]
-	[[~~Bild~~:4_2_3_a2.gif\|center]]	+	[[Image:4_2_3_a2.gif\|center]]

Madde at 14:27, 15 August 2008

Madde — Fri, 15 Aug 2008 14:27:18 GMT

←Older revision		Revision as of 14:27, 15 August 2008
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	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
	[[Bild:4_2_3_a1.gif\|center]]		[[Bild:4_2_3_a1.gif\|center]]
		+	[[Bild:4_2_3_a2.gif\|center]]

Madde at 14:27, 15 August 2008

Madde — Fri, 15 Aug 2008 14:27:03 GMT

←Older revision		Revision as of 14:27, 15 August 2008
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	<center> [[Bild:4_2_3a.gif]] </center>		<center> [[Bild:4_2_3a.gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
-	[[Bild:~~4_2_3_a~~.gif\|center]]	+	[[Bild:4_2_3_a1.gif\|center]]

Madde at 14:26, 15 August 2008

Madde — Fri, 15 Aug 2008 14:26:51 GMT

←Older revision		Revision as of 14:26, 15 August 2008
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	<center> [[Bild:4_2_3a.gif]] </center>		<center> [[Bild:4_2_3a.gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
		+	[[Bild:4_2_3_a.gif\|center]]

Oskar: Ny sida: {{NAVCONTENT_START}} Bild:4_2_3a.gif {{NAVCONTENT_STOP}}

Oskar — Thu, 03 Apr 2008 07:52:16 GMT

Ny sida: {{NAVCONTENT_START}} <center> Bild:4_2_3a.gif </center> {{NAVCONTENT_STOP}}

New page

{{NAVCONTENT_START}}
<center> [[Bild:4_2_3a.gif]] </center>
{{NAVCONTENT_STOP}}