\(Tangent = \frac{Opposite}{Adjacent}\)
Since we already have the opposite, we need to solve for the adjacent.
Pythagoras: \(a^2 + b^2 = c^2\)
In this case: \(Opposite^2+Adjacent^2=Hypotenuse^2\)
Solve for adjacent:
\(Adjacent^2=Hypotenuse^2-Opposite^2\)
\(Adjacent = \sqrt{Hypotenuse^2-Opposite^2}\)
So, going back to the first equation (for tangent), we can plug in this for adjacent.
\(Tangent=\frac{Opposite}{\sqrt{Hypotenuse^2-Opposite^2}}\)
There we go! Use this equation ↑↑↑ to find tangent.
