Graphing a Trig Function

-m=tan(alpha)
Where "m" is the slope of the line and "alpha" is the angle of inclination.

-tan2d=B/A-C
Where "a" finds "alpha" for a conic by using the followig formula: AX^2+BXY+CY^2

Amplitude is how high or low a curve is from the origin. "A" is the variable used to represent amplitude.

In order to find amplitude-

Y=AsinBx
Y=AcosBx

The amplitude can never be a negative number.

When there is a negative sign infront of sin or cos it flips the curve's direction.

Period is how long it takes for a curve to repeat itself completely.

In order to find the period-

2(pi)/B

There are five important points that are crucial to remember when doing this. They are as follows:

o
pi
pi/2
3(pi)/2
2(pi)

The following are the steps to graphing a trig function:
1. Identify whether there is a negative sign and whic way the graph will start.
2. Find the period.
3. Find the amplitude.
4. Write the five important points down.
5. Divide every point by B.
6. If anything is added or subtracted in parenthesis do the opposite of the sign to all five of the points.
7. Sketch the graph.
8. Shift the points up or down if anything is added or subtracted outside of parenthesis.

(It goes in the same direction.)