Practice Trigonometric Function Graphs in Math

Quick Recap

The graphs of $\sin x$, $\cos x$, and $\tan x$ as functions of a real variable, characterized by amplitude, period, phase shift, and vertical shift.

If you track the $y$-coordinate of a point moving around the unit circle and plot it against the angle, you get the sine wave. It's the shape of ocean waves, sound waves, and alternating current. The general form $y = a\sin(bx - c) + d$ lets you control four properties: how tall the wave is ($a$, amplitude), how fast it repeats ($b$, affecting period), where it starts ($c$, phase shift), and its vertical center ($d$, vertical shift).