Trig Relationship

A verbal description of the relationship

Trigonometric functions are related to the ratio of the projections of the side of a triangle onto the X or the Y axis in relationship to the radius of a circle. For example, the sin function of a given angle is the ratio of the far side of a right triangle (from the angle) to the hypotenuse, or the projection of a line segment at a angle onto the Y axis relative to the length of that segment.

The equation and the meaning of x, y, and other parameters

Y = m * sin(X)

m is a multiplication factor that sets the amplitude

X is a number that could relate to an angle (in radians or degrees)

One or more examples

to be added later

A graph

Algebraic rules that apply to the use of this equation

The argument inside the trig function must be calculated first. For example, (1/2)*sin(Pi) = 0 not 1/2

Characteristic values

for the equation Y = m * sin(X)

Y is periodic between +m and -m because sin(x) ranges from 1 to -1

at X = 0, Y= 0

at X = Pi/2, Y = +m and at X = 3*Pi/2, Y = -m

X values should be interpreted in terms of their relationship to multiples of Pi.