Question

How do you sketch the angle whose terminal side in standard position passes through (5,12) and how do you find sin and cos?

Answer 1

`sin t = 12/13`
`cos t = 5/13`

Explanation:

The terminal side of this angle t is in Quadrant 1.
`tan t = 12/5`
Use trig identity:
`cos ^2 t = 1/(1 + tan^2 t) = 1/(1 + 144/25) = 25/169`
`cos t = +- 5/13`
Because t is in Quadrant 1, take the positive value.
`sin t = tan t.cos t = (12/5)(5/13) = 12/13`