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Topic: Law of tangents

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	Law of sines - Wikipedia, the free encyclopedia
		In trigonometry, the law of sines (or sine law) is a statement about arbitrary triangles in the plane.
		When using the law of sines to solve triangles, under special conditions there exists an ambiguous case where two separate triangles can be constructed (i.e., there are two different possible solutions to the triangle).
		If two sides of the triangle are equal to R and the length of the third side, the chord, is given as 100' (30.48 m) and the angle C opposite to the chord is given in degrees, then angle A = angle B = :
	en.wikipedia.org /wiki/Law_of_sines (591 words)

	Trigonometry
		Q.E.D. Theorem: The R of the Law of Sines indeed is the radius of the circumscribing circle.
		For each law, we give the spherical (a, b, c are the sides; A, B, C are the angles), its dual for the polar triangle (A. C are the angles; a, b, c are the sides), and the plane (a, b, c are the norms of the sides; A, B, C are the angles) version.
		Law of Sines Observe that the short-form of the law of sines is self-dual.
	www.rism.com /Trig/Trig02.htm (8729 words)

	PlanetMath: proof of tangents law (Site not responding. Last check: 2007-10-31)
		we start with the sines law, which says that
		"proof of tangents law" is owned by giri.
		This is version 2 of proof of tangents law, born on 2002-11-30, modified 2002-12-04.
	planetmath.org /encyclopedia/ProofOfTangentsLaw.html (39 words)

	Computer Code
		The spherical and plane trigonometric laws pertaining to a triangle: cosine, haversine, sine (long and short forms), tangent, half-tangent, Napier (one and two), and area are provided as functions, which may be cut and pasted into an application.
		It is tempting to employ the short form of the law of sines - law_sin_short_aA --, to obtain the remaining angle.
		It is tempting to employ the short form of the dual of the law of sines - law_sin_short_sa --, to obtain the remaining side.
	www.rism.com /Trig/computer_code.htm (1214 words)

	law - Wiktionary
		A well-established, observed physical characteristic or behavior of nature.
		Newton and Einstein understood the law of gravitation in very different ways.
		A category of English "common law" petitions that request monetary relief, as opposed to relief in forms other than a monetary judgment; compare to "equity".
	en.wiktionary.org /wiki/law (251 words)

	Orðasafn: L
		law of exponentiation veldisvísaregla, = exponential law, = law of exponents.
		law of sines sínusregla, = sine law, = sine rule.
		law of small numbers lögmál Bortkiewitcz, markgildissetning Poissons, lögmál hinna litlu talna, lögmál hinna sjaldgæfu atburða, = Bortkiewitz law, = law of rare events, = Poisson's limit theorem.
	www.hi.is /~mmh/ord/safn/safnL.html (2028 words)

	Trigonometry and Basic Functions - Numericana
		Solving triangles using the Law of Sines, Law of Cosines, and Law of Tangents.
		Sum of tangents of two half angles, in terms of sums of sines and cosines.
		The Law of Sines itself is proved by remarking that, if O is the center of the circumscribed circle, one may consider an isoceles triangle like OAB which has two sides of length
	home.att.net /~numericana/answer/functions.htm (3891 words)

	Law professor bans laptops in class at Wild Tangents
		It seems a bunch of whinny law students at U of M have complained because their professor has banned the use of laptops in class.
		On March 6, Professor June Entman warned her first-year law students by e-mail to bring pens and paper to take notes in class.
		There is a LOT of money at stake, and, let’s face it, most of our lawMAKERS are lawYERS, who exploit the laws the MAKE on their own behalf.
	www.wildtangents.net /2006/03/31/law-professor-bans-laptops-in-class (656 words)

	Orðasafn: T
		tangent space snertirúm, snertlarúm, = tangent vector space.
		tangent vector snertivigur, snertill, = tangential vector, -> tangent 1.
		tertium non datur lögmál um annað tveggja, = law of excluded middle, = principle of the excluded middle.
	www.hi.is /~mmh/ord/safn/safnT.html (1134 words)

	Tangents fun'n'frenzy filled web site.
		The 'Underneath The Window' single was recorded and released in the midst of the Poll Tax troubles and came with a poster that had a collage of anti-Poll Tax material adorned with the message 'The Orchids say don't pay the Poll Tax'.
		Their was more on the record itself, with the blunt 'Defy The Law' (never did revolt sound so sprightly and gorgeously weightless as this) and a blatant 'FUCK THE POLL TAX' etched in the run-off groove.
		And whilst maybe it's just my snobbery that prefers the initial print-sun sleeve of shades of blue over the starker blue and white later version, it was nevertheless another fairly horrid sleeve housing a fantastic record.
	www.tangents.co.uk /tangents/main/2002/nov/orchids.html (3532 words)

	law of tangents - OneLook Dictionary Search (Site not responding. Last check: 2007-10-31)
		We found 3 dictionaries with English definitions that include the word law of tangents:
		Tip: Click on the first link on a line below to go directly to a page where "law of tangents" is defined.
		Law of Tangents : Eric Weisstein's World of Mathematics [home, info]
	www.onelook.com /?w=law+of+tangents&ls=a (85 words)

	Lesson 2 (Site not responding. Last check: 2007-10-31)
		As indicated in Lesson #1, consider that, in this tutorial, periods are expressed in radians, rather than cycles, otherwise As indicated in Lesson #1, time intervals are pure spaces and time periods are pure times.
		The tangent functions mentioned above are called velocity when multiplied by the constant "C".
		Special Relativity is basically an expression of the "Law of Tangents".
	home.earthlink.net /~tdp/lesson2.html (366 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-31)
		Date: 01/22/99 at 01:23:14 From: Matthew Veatch Subject: Law of tangents For my pre-calc class, I am trying to prove and derive the law of tangents.
		Date: 01/22/99 at 12:44:51 From: Doctor Floor Subject: Re: Law of tangents Hi Matthew, Thank you for sending your question to Dr. Math!
		Let a and b be two sides of a triangle.
	mathforum.org /library/drmath/view/54106.html (106 words)

	HMCo College Algebra Exercises, Chapter 8 (Site not responding. Last check: 2007-10-31)
		State Mollweide's Formula and show by an example how it can be used to check the results of solving a triangle.
		State the Law of Tangents and illustrate with a specific example how to use this law to solve a triangle.
		A projectile is fired at an angle of inclination
	college.hmco.com /mathematics/aufmann/collalg/chapter8.html (213 words)

	year 1999,2000 problems: Math Dept, The University of Louisiana at Lafayette
		Prove that a triangle with sides a,b,c and opposite angles A, B and C respectively satisfies the Law of Tangents.
		Find the area of the triangle formed by the x-axis, the y-axis, and the tangent line to the curve at point (a,b).
		He also knows that when they work together they talk a lot, and their combined output is decreased by 10 bricks an hour.
	www.louisiana.edu /Academic/Sciences/MATH/problems/yr9900pblms.html (4197 words)

	Solving Triangles (Trig without Tears Part 5)
		The Law of Sines is no good for that because it relates two sides and their opposite angles.
		Instead, what I hope to do is show you that between the Law of Sines and the Law of Cosines you can solve any triangle, and that you simply pick which law to use based on which one has just one unknown and otherwise uses information you already have.
		With the first form equation 30 of the Law of Cosines you use all the sides to compute one angle.
	oakroadsystems.com /twt/solving.htm (3216 words)

	Solution by Law of Tangents
		The law of tangents is expressed in words as follows: In any triangle the difference between two sides is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum.
		For the triangle shown in figure 1-27, you know the lengths of two sides and the size of the angle between them.
		You can determine the sizes of the other two angles by applying the law of tangents as follows.
	www.tpub.com /engbas/1-24.htm (285 words)

	Math Program Ideas - ticalc.org
		Law of Sines, Law of Cosines, Law of Tangents, Input value and display value through trig functions, graphing trig functions, trigonometric identities and formulas, triangle solver, right triangle solver etc...
		Yes, I do think that I could make this program, it might take a lot of space on your calculator, that's a price you'll have to take for this kind of program.
		I don't think it will be that hard, though I might have to look over that stuff again to remember it all.
	www.ticalc.org /programming/ideas/math.html?p=13 (790 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		Date: Oct 14, 1999 4:33 PM Author: Susan Schwartz Wildstrom Subject: Re: Law of Tangents
		there a Law of Tangents?" which I knew that there was, but didn't know
		knowing and using the Law of Tangents would be helpful.
	mathforum.org /kb/plaintext.jspa?messageID=203150 (94 words)

	tangents - OneLook Dictionary Search
		We found 4 dictionaries with English definitions that include the word tangents:
		Tip: Click on the first link on a line below to go directly to a page where "tangents" is defined.
		Phrases that include tangents: law of tangents, circle circle tangents, proof of tangents law, three circles and common tangents
	www.onelook.com /?w=tangents&ls=a (109 words)

	Rebco Performance Online -- Tech Tips ~ "Center of Gravity Height"
		The center of gravity height is found using the rules of trigonometry and right triangles.
		Specifically, we are using the Law of Tangents, and the Pythagorean Theorem.
		Ok, now that we know the tangent of the angle we can calculate the center of gravity height based on our weight measurements using the following formula:
	www.rebcoperformance.com /articles/art.asp?ARTID=3 (727 words)

	SchoolNotes.com - Notes Page
		Objective: To use the law of sines to solve triangles where the measures of two angles and one side are known.
		The Law of Sines: The Ambiguous Case, Section 4.2
		Objective: To solve a triangle when two angles and the side opposite one of them are given.
	www.schoolnotes.com /33844/jvickers.html (428 words)

	ASSIGNMENT QUESTIONS
		c, what law should you use to solve
		When angle a and sides b and c are
		law should you use to solve for all
	www.tpub.com /content/engineering/14069/css/14069_678.htm (127 words)

	Stuffed Sheets.com - Subject Index: L
		(alternate forms of the) Law of Cosines TRG-CF7
		(alternate forms of the) Law of Sines TRG-CF7
		(alternate forms of the) Law of Tangents TRG-CF7
	www.stuffedsheets.com /subject_index/l.htm (331 words)

	Keymath.com
		The ambiguous case of the Law of Sines
		Learn more about APPLICATIONS OF THE TRIGONOMETRIC LAWS.
		Planet Math: Proof of the Law of Tangents
	www.keymath.com /x3268.xml (252 words)

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