8-2

Today we are going to learn how to solve a trig function. This requires 8 steps. I’m going to start of by telling you the steps. (For some reason, it kept crashing when I tried to insert a picture.)

1. Identify if there is a negative and which way it will start.

2. Find the Period.

3. Find the Amplitude

4. Write your five important points. (0, π/2, π, 3π/2, and 2π)

5. Divide every point by “B”

6. If anything is added or subtracted in parenthesis do the opposite for all 5 points

7. Sketch

8. Shift the graph up or down if anything is added or subtracted outside of parenthesis.

Now, we’re going to work and example:

Y=2 Sin 3x

1. There is no negative and it will start like this. (axis, up, axis, down, axis)

2. Use the formula 2π/B to find your Period. 2π/3

3. The Amplitude is the absolute value of the number before the function. Therefore, it is 3

4,5. 0x2=0

π/2x2=3π/2

πx2=π/3

3π/2x2=9π/2

2πx2=2π/3

6. Since there is nothing added or subtracted in parenthesis, you sketch the numbers we just found.

7. Sketch your points using the graph you found in step 1.

And that’s how you solve a trig function J

-Carley