Question

please help me fill out these graphs i dont understand

Answer 1

ANSWERS

EXPLANATION

The trigonometric ratios, for a right triangle like this,

The references are:

• H: hypotenuse

,

• O.L.: opposite leg

,

• A.L.: adjacent leg

The trigonometric ratios are,

$\begin{gathered} \sin \theta=\frac{O\mathrm{}L\text{.}}{H} \\ \cos \theta=\frac{A\mathrm{}L\text{.}}{H} \\ \tan \theta=\frac{O\mathrm{}L\text{.}}{A\mathrm{}L\text{.}} \end{gathered}$

For the unit circle, O.L. is y, A.L. is x and H is r, so the ratios are,

$\begin{gathered} \sin \theta=\frac{y}{r} \\ \cos \theta=\frac{x}{r} \\ \tan \theta=\frac{y}{x} \end{gathered}$

If r = 1,

$\begin{gathered} \sin \theta=y \\ \cos \theta=x \\ \tan \theta=\frac{y}{x} \end{gathered}$