Game Development Reference
In-Depth Information
Figure 12.20
The secant is undefined where the cosine value is 0.
3
2
They begin infinitely large at
and then decrease as they near 2
.At2
the
secant value is 1.
The secant values create a periodic pattern that alternates above and below the
x
axis, and the period of the secant graph is 2
. In Figure 12.20, for example, you
can identify a period as beginning at 0 and extending to 2
.
Plotting Cosecant Values
The value of the cosecant is undefined when it falls on a vertical line passing
through a point on the
x
axis at which the sine value is 0. The sine and cosecant
functions are reciprocals of each other.
To plot a cosecant value, you can begin on the
x
axis at
2
. The value of the
cosecant at this point is 1. As you move to the left, toward 0 from
2
, the value of
the secant rises infinitely as it approaches 0. It is undefined at 0. Moving in a
positive direction along the
x
axis from
2
, the value of the cosecant increases. As
they approach
, they become infinitely large. At
the value for the secant is not
defined. After passing beyond
, the cosecant values, shift to below the
x
axis.
They begin at an infinitely large negative value, and then increase as they move
toward
3
2
.At
3
2
the value of the cosecant is
1.
