Geometry: How to use SOH CAH TOA

Welcome back to Mathsux! This week, we’re going to go over how to find missing angles and side lengths of right triangles by using trigonometric ratios (sine, cosine, and tangent).  Woo hoo! These are the basics of right triangle trigonometry, and provides the basis for mastering so many more interesting things in trig! So, let’s get to it!

Also, if you have any questions about anything here, don’t hesitate to comment below. Happy calculating! 🙂

Trigonometric Ratios (more commonly known as Sine, Cosine, and Tangent) are ratios that naturally exist within a right triangle.  This means that the sides and angles of a right triangle are in proportion within itself.  It also means that if we are missing a side or an angle, based on what we’re given, we can probably find it!

Let’s take a look at what Sine, Cosine, and Tangent are all about!

Screen Shot 2020-07-04 at 5.03.29 PM.pngNow let’s see how we can apply trig ratios when there is a missing side or angle in a right triangle!Screen Shot 2020-07-04 at 5.04.02 PM

Screen Shot 2020-07-04 at 5.17.47 PMScreen Shot 2020-07-04 at 5.18.09 PM.pngScreen Shot 2020-07-04 at 5.15.19 PMScreen Shot 2020-07-04 at 5.15.54 PM.png

Now for another type of question; using trig functions to find missing angles, let’s take a look:Screen Shot 2020-07-04 at 5.05.01 PM.pngScreen Shot 2020-07-04 at 5.19.13 PMScreen Shot 2020-07-04 at 5.19.30 PM.png

Screen Shot 2020-07-04 at 5.19.51 PMScreen Shot 2020-07-04 at 5.05.38 PM.png

Try the following Practice Questions on your own!

Screen Shot 2020-07-04 at 5.05.55 PMSolutions:

Screen Shot 2020-07-04 at 5.06.37 PM.png

Still got questions?  No problem! Check out the video the same examples outlined above and happy calculating! 🙂

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