Verified answer

Draw the reference right triangle. Since 10 sin θ=n, then sin θ = n/10, meaning that the vertical leg has length n and the hypotenuse has length 10.

Using Pythagorean Theorem, you can find that the length of the opposite side must be sqrt(100 - n^2).

Thus, tan θ= n / sqrt(100 - n^2) or (in rationalize denominator form)

tan θ = n sqrt(100 - n^2) / (100 - n^2)

Draw a right triangle. It will help a lot.

no