Question

How do you evaluate `tan(arcsin(9/13))`?

Answer 1

`tan(arcsin(9/13)) = 9/sqrt(88)`

Explanation:

If `theta = arcsin(9/13)`
then we can imagine a representative triangle with sides in the ratios pictured below
where the adjacent side has bee evaluated using the Pythagorean Theorem as `sqrt(13^2-9^2)`

From this diagram, it follows that
`tan(theta) = 9/sqrt(88)`