Feroz's Epic Blog #3

I already did 8-1 and I don't get 8-3, so I guess I'll do 8-2.

This section is about finding the Amplitude and Period of graphs. Be it sine or cosine.

Before we start I should probably explain what they are. Amplitude is the highest point on the graph and Period is how often the graph repeats itself.

To find the Amplitude, you must find the absolute value of A, which would be the number in front of the trig function.

To find the Period, you must divide B, the number in front of the x, by 2π.

Now, you must find the first five points of the graph. This requires the quotient of B from these points:

1. 0

2. π/2

3. π

4. 3π/2

5. 2π

Some more important things to know. Sine graphs start from or go through the origin and cosine graphs start from a certain point.

Let's do an example:

y = 4sin2πx

The absolute value of 4 (A) is 4, so 4 is the amplitude.

To find the period, divide 2π/2π, which equals 1.

The next step is to divide those five points I gave you earlier by B, which is 2π.

1. 0/2π = 0

2. π/2/2π = 1/4

3. π/2π = 1/2

4. 3π/2/2π = 3/4

5. 2π/2π = 1

Btw, an easy way to divide fractions is to multiply by the reciprocal of the number you are dividing by.

Your fifth point should be the same as your period, as you are dividing 2π by the same number.

I can't do graphs on here but the rest should be in your notes.

So, yeah. That's it.