Trigonometric functions - Wikipedia, the free encyclopedia
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In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. Tr...
en.wikipedia.org/wiki/Trigonometric_functions
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Addition Formula (Sine) ... Double Angle Formulae ... This formula can be derived from the addition formula for sine and cosine.
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library.thinkquest.org/C0110248/trigonometry/formtangen...
library.thinkquest.org/C0110248/trigonometry/formtangent.htm
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Hi I am trying to derive a triple angle formulae for tan. I know i need to use compound and double angle formulae but am finding it difficult to "clean" up my fraction ... I am going to assume that you know the expressions for sine, cosine and tangent of A + B. There is some information in our answer to an earlier question.
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mathcentral.uregina.ca/QQ/database/QQ.09.06/h/sam1.html
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To demonstrate that the value of the sine, cosine and tangent depends on the angle "b", let's study the three examples at the bottom of the figure. We are only going to discuss the sin(b) in these examples, but there are similar discussions for the cosine and tangent.
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wright.nasa.gov/airplane/trig.html
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I have found formula's for the sine & cosine of an angle sin(x) = x - x^3/3! + x^5/5! - x^7/7! + x^9/9! - ... and cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! ... Is there a similar formula for the tangent(x)?
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forums.hypography.com/physics-mathematics/97-tangent-fo...
forums.hypography.com/physics-mathematics/97-tangent-formula-print.html
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The number sin(t)/cos(t) is called the tangent of t. We write tan(t). ... We prove this formula using the concept of dot product of two vectors. (See theory about vectors) With u corresponds one point p(cos(u),sin(u)) on the unit circle; With v corresponds one point q(cos(v),sin(v)) on the unit circle;
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www.ping.be/~ping1339/gonio.htm
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Jordi Ruis, Derivation of a New Tangent Formula from Patterson-Function Arguments, Acta Cryst. Vol A49, pp. 406-409, 1993. ... Jordi Ruis, "Derivation of a New Tangent Formula from Patterson-Function Arguments," Acta Cryst. Vol A49, pp. 406-409, 1993. Online articles have much greater impact More about CiteSeer.IST...
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citeseer.ist.psu.edu/context/781479/0
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Elementary Functions ArcTan[z] Transformations Transformations and argument simplifications Argument involving basic arithmetic operations Involving tan-1(2z/1-z2) Involving tan-1(2 z/1-z2) and tan-1(z) ... © 1998-2009 Wolfram Research, Inc.
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functions.wolfram.com/01.14.16.0067.01
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trigonometry and hyperbolic triangles ... The Tangent Formula for Hyperbolic Triangles; If the h-triangle ABC has a right angle at A, then tan(B) = tanh(b)/sinh(c), and tan(C) = tanh(c)/sinh(b). ... proof of the tangent formula...
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www.maths.gla.ac.uk/~wws/cabripages/hyperbolic/hypertri...
www.maths.gla.ac.uk/~wws/cabripages/hyperbolic/hypertrig.html
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