Basics of angles
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All angles consist of a few primary parts: a base, a terminal ray, and a vertex. The vertex of the angle is the place at which the base and terminal ray have their endpoint. This point is shared between the two. The measure of an angle is defined as the curved distance between the base and the terminal ray. It may be given in radians (the length of the radius) or degrees (a standard length which is equal to 1/360 of a circle).
Given an angle with line segments of equal length as base and terminal side: when the vertex of the angle is positioned on a Cartesian plane with the vertex positioned at the origin (0,0) such that the base extends along the x-axis in the positive direction, the following statements hold true:
The sine of the angle is equal to the y-coordinate of the endpoint of the terminal ray. The cosine of the angle is equal to the x-coordinate of the endpoint of the terminal ray. The tangent of the angle is equal to the slope of the terminal ray given by the sine divided by the cosine or the y-coordinate divided by the x-coordinate.
SOHCAHTOA-Some(sine) Old(opposite) Hippi(hypotenuse)+ Came(cosine) A(adjacent) Hoppin'(hypotenuse)+ Through(tangent) Our(opposite) Apartment(adjacent)
DHDOES? - Do(Diagonal of a square is )tHe (Hypotenuse of a triangle where the sinus and cosinus...) Hippiessites (...has the same value being opposite)Dream Of Electric Shapes?
