The terminal point Px y determined by a real number t is 51

The terminal point P(x, y) determined by a real number t is (- 5/13, 12/13) sin t = cos t = tan t =

Solution

use the definition.
r=( 5 / 13 )² + ( 12 / 13 )² = 1

So the point P is on the unit circle.

The hypotenuse is 1 so just use , sin = opp/hyp , cos = adj/hyp , tan = opp/adj

sin = y / r = y / 1 = 12 / 13

cos = x / r = x / 1 = 5/13

tan = y / x = (12 / 13) / (5 / 13 ) = 12 / 5