SOLUTION: A point​ P(x,y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t. The point P is Upper P left parenthesis Sta

The length t is the length of the red arc.

Draw a perpendicular from the point  to the
x-axis. Label it Q, and label the origin O. Then draw the radius OP.
The radius of the unit circle is 1. {In green below].

  

In geometry, you learned that a central angle is measured by the
arc it subtends.  So the central angle is also measured t.

Triangle OPQ is a right triangle. 
The side opposite angle t is PQ.
Also PQ is the y-coordinate of P, so PQ = 8/17.
The side adjacent to angle t is OQ.
Also OQ is the x-coordinate of P, so OQ = 15/17.
The radius OP is the hypotenuse, so OP = 1.


 <-- the y-coordinate of P
 <-- the x-coordinate of P





Edwin