The radius of the circle below intersects the unit circle at (3/5, 4/5). what is the approximate value of teta?

For this case we can use the following trigonometric relationship:
 tan (theta) = y / x
 Substituting values we have:
 tan (theta) = (4/5) / (3/5)
 Rewriting we have:
 tan (theta) = 4/3
 Clearing theta:
 theta = Atan (4/3)
 theta = 53.13 degrees
 
 the approximate value of teta is:
 theta = 53.13 degrees

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