Homework help please

Question

The terminal point P(x, y) determined by a real number t is given. Find sin(t), cos(t), and tan(t).

(-1/7, 4\sqrt{3 }/7

Answer 1

If I am reading the terminal point correctly, it is ( -1/7, (4√3)/7 )

This is a point on the unit circle. (Notice that x² + y² = 1) so we have the following facts about points on a unit circle:

sin(t) = y-coordinate

cos(t) = x-coordinate

tan(t) = y-coord/x-coord or sin(t)/cos(t)

sin(t) = 4√3/7

cos(t) = - 1/7

tan(t) = -4√3