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how do you find the tangent when giving adjacent hypotenuse AND opposite 

Guest Mar 9, 2017

Best Answer 

 #1
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+5

Tan = Opposite side / Adjacent side

Guest Mar 9, 2017
 #1
avatar
+5
Best Answer

Tan = Opposite side / Adjacent side

Guest Mar 9, 2017
 #2
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+5

\(Tangent = \frac{Opposite}{Adjacent}\)

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.

Guest Mar 9, 2017
edited by Guest  Mar 9, 2017

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