Question

How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through (12,16)?

Answer 1

as the terminal point is (12,16)
so Base = 12 & perpendicular = 16

Explanation:

now, Hypotenuse = 20
as, the point is in the I Quadrant
so, `sintheta=16/20=4/5`
`costheta=12/20=3/5`
`tantheta=sintheta/costheta=4/3`
`cottheta=1/tantheta=3/4`
`cosectheta=1/sintheta=5/4`
`sectheta=1/costheta=5/3`