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

Answer:

the approximate value of teta is:

theta = 53.13 degrees