Question

Please help me fill out these graphs i dont understand

Answer 1

ANSWERS

Step-by-step 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=(y)/(r) \\ \cos \theta=(x)/(r) \\ \tan \theta=(y)/(x) \end{gathered}`

If r = 1,

`\begin{gathered} \sin \theta=y \\ \cos \theta=x \\ \tan \theta=(y)/(x) \end{gathered}`