Graphing using angle of inclination, period, and amplitude

This past week we’ve learned about an alpha (angle of inclination) period, and amplitude.

-m=tan(alpha) where m is the slope of a line. “alpha” is also known as “angle of inclination.”

-tan2d= B/A-C à finds the angle of inclination for a conic by using AX^2 + BXY +CY^2 + …

Amplitude = how high/low a curve is from the origin. “A” is the variable used.

-To find amplitude:

Y=AsinBx

Y=AcosBx

*Amplitude cant be negative.

A negative in front of sin/cos flips the curve.

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

-To find period use the formula: 2(pi)/B

Steps to graphing a trig function:

1. Identify if theres a negative and which way it will start.
2. Find the period
3. Find the amplitude
4. Write your 5 important points (0, pi/2, pi, 3(pi)/2, 2(pi))
5. Divide every point by B
6. If anything is added/subtracted in parenthesis do the opposite for all 5 points
7. Sketch
8. Shift points up or down if anything is added/subtracted outside of parenthesis.

*It goes the same direction.