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Fundamentals of Trigonometry

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Fundamentals of Trigonometry - Page Text Content

S: Seasons of Change

BC: Edited by Joshua K

FC: Fundamental Concepts in Trigonometry

1: There is a coordinate plane in the Cartesian coordinate system which describes discrete and imperative angle measures. This plane is known prevalently as the Unit Circle. It has angle measures labeled in terms of degrees and radians as well as ordered pairs complemented for those respective measures. The radius is discretely 1 unit and the formula is x^2 + y^2 = 1.

3: As stated previously, angle measures are labeled in forms of degrees and radians. In order to convert a degree to a radian, one must multiply the measure by /180. For the corollary, to take the radian and multiply it by the reciprocal value.

5: An angle is a measure that consists of 2 rays. The ray by which we consistently label angle measures is the initial segment. The second ray is known as the terminal segment. The formulas for co-terminal angles in respect to degrees and radians are 360+A*k.

7: The six basic trigonometric functions are known as sine,cosine,tangent,co-secant,secant,cotangent. The domain for each of the first three relations consist of the following. Sine=Y/R, Cosine=X/R, Tangent= Y/X. The second set of functions are reciprocals for their corresponding proportions.

9: There are methods that are used in order to find angle measures or segment lengths of triangles that are unable to be solved through basic means. They are the Law of Cosine, and the Law of Sine. There are also several rules that are used to find the areas of respective triangles. Applications are frequent uses for these rules depending upon the situation.

10: http://commons.wikimedia.org/wiki/File:Sine_cosine_one_period.svg Trig Functions By: Geek3 http://commons.wikimedia.org/wiki/File:Unit_circle_angles.svg Unit Circle By: Gustavb http://commons.wikimedia.org/wiki/File:Angulo_positivo.svg Angle measures By: Magister Mathematicae

11: http://commons.wikimedia.org/wiki/File:45,_-315,_and_405_co-terminal_angles.svg Coterminal angles By: Adrignola http://commons.wikimedia.org/wiki/File:Sine_cosine_one_period.svg Trig Functions By: Geek3 http://commons.wikimedia.org/wiki/File:Sine_Law.png Law of Sine By: JRGoma

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  • By: Joshua K.
  • Joined: almost 5 years ago
  • Published Mixbooks: 1
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  • Title: Fundamentals of Trigonometry
  • Basic concepts of trigonometry consisting of the Unit Circle, forms of angle measures, formulas, Law of Sines, Law of Cosines, and the 6 fundamental identities.
  • Tags: None
  • Published: almost 5 years ago

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