A line drawn from the origin and forming the angle with the -axis intersects the unit circle at the p

A line drawn from the origin and forming the angle with the -axis intersects the unit circle at the point(1/3,(2sqrt(2)/3) . Complete the following equations:
sin(t)
cos(t)
tan(t).
thanks in advance

Using circle-based trig definitions, the points on the unit circle are (x, y) = (cos t, sin t), where t is the DISTANCE along the unit circle counter-clockwise from (1,0). But, because it's a unit circle, that distance is simply the angle measured in radians.

Then DEFINE tan t = (sin t)/(cos t) wherever x=cos t is not zero, and you have circle-based trig in a nutshell.

That makes
cos t = x = 1/3,
sin t = y = 2√2 / 3, and
tan t = y/x = (2√2 / 3) / (1/3) = 2√2