Question

For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?. For the point (16,12) find sin theta and cos theta

Answer 1

First we must find the hypotenuse: 
c² = x² + y²
c² = 16² + 12²
c² = 256 + 144
c² = 400
c = √ 400
c = 20
sin t(theta) = y / c = 12/20 = 3 / 5
cos t(theta) = x / c = 16 / 20 = 4 / 5