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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

In the $xy$-plane, a unit circle with center at the origin $O$ contains point $A$ with coordinates $(1,0)$ and point $B$ with coordinates $\left(\frac{5}{\sqrt{34}},-\frac{3}{\sqrt{34}}\right)$. If the measure of angle $AOB$ is $p$ radians, what is the value of $\frac{\cos p}{\sin p}$?

1

5/3

2

1.66

3

1.67

4

1.666

5

1.667