# How do you sketch the angle whose terminal side in standard position passes through (9,12) and how do you find sin and cos?

Feb 1, 2017

$\sin t = \frac{4}{5}$
$\cos t = \frac{3}{5}$

#### Explanation:

Consider right triangle OMm.
Horizontal leg Om = 9
Vertical leg Mm = 12
Hypotenuse OM = 25 (pythagoras theorem)
call t the angle < mOM.

$\sin t = \frac{12}{25} = \frac{4}{5}$
$\cos t = \frac{9}{15} = \frac{3}{5}$