Exploration+49,+Harmonic+Analysis+10-4

__No Calculator Part:Trig Identities__ -Memorize some -Know how to derive the rest
 * __Test__:**
 * This should be fast, you will know it or you won't.**

Have an understanding of where trig identities come from. You will need to be able to solve trig equations using trig identities


 * __Exploration 49: Harmonic Analysis__**

This graph is composed of two sinusoids:

1. The graphs were added because it has a non constant axis of oscillation and the wiggles around the axis are fairly constant.

2. **Sinusoid 1:** It is a sin function because the axis of oscillation goes though the origin. amplitude=3 period=360(2pi) equation=3sintheta

amplitude=3 period=360/13 equation=2cos(13theta)
 * Sinusoid 2:** It is a cos function because it starts at it's maximum amplitude.

__Final equation__= 3sintheta+2cos(13theta)

3.

This graph is composed of two sinusoids:

4. The graphs were multiplied because it has a variable amplitude.