Question

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

Answer 1

`sin t = 4/5`
`cos t = 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 = 12/25 = 4/5`
`cos t = 9/15 = 3/5`