Let P be the point on the unit circle U that corresponds to

Let P be the point on the unit circle U that corresponds to an angle t. Find the exact coordinates (x,y) of P and the exact values of the trigonometric functions at angle t.

t=0

find x,y, sin, cos, tan, cot, sec and csc

Solution

An angle of t (0)is from the standard position (1,0)
on the circumference going counterclockwise.
t (0,1) has the same coordinates but arrives
there from the standard position going clockwise.
In the unit circle sin=y cos=x & tan=y/x
In this case sin=0 cos=1 tan=0/1=0 csc=1/0=und. sec=1/1=1 cot=0
We derived all of these above formulas from (1,0).
Answer