# If #csc z = \frac{17}{8}# and #cos z= - \frac{15}{17}#, then how do you find #cot z#?

##### 1 Answer

I would like to note that referring to a right triangle is not always a good idea in trigonometry. In this case, for example,

A much better approach to trigonometric functions is to use a *unit circle* - a circle of a radius

Any point

The *abscissa* (X-coordinate) of point **definition** of a function

The *ordinate* (Y-coordinate) of point **definition** of a function

Then **definition**, a ratio

Similarly, by **definition**,

Using these definitions, from

we can determine

Then, knowing