#Sinusoidal Functions: Your Ultimate Review 🚀

Hey there, future AP Pre-Calculus master! Let's dive into the world of sinusoidal functions. Think of this as your pre-exam power-up – everything you need, nothing you don't. Let's get started!

#Understanding Sinusoidal Functions

#What are Sinusoidal Functions?

• A sinusoidal function is any function that looks like a sine or cosine curve – oscillating and periodic. Both sine and cosine functions are sinusoidal, and so are their transformations.

• Key Idea: The cosine function is just a transformed sine function:

  $$cos(θ) = sin(θ + \frac{π}{2})$$

  This means the cosine curve is the sine curve shifted to the left by $\frac{π}{2}$ units. Think of it as a horizontal slide! ➡️

  ![](https://zupay.blob.core.windows.net/resources/files/0baca4f69800419293b4c75aa2870acd_6b0ad7_419.pn...