SOH CAH TOA by Francis Salazar

SOH CAH TOA by Francis Salazar

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  • T T T T T
  • Hi, we're looking to dominate the Western Front but we need to grasp the concept of SOH CAH TOA in order to so do. Teach us!
  • 15 15 15 15 15
  • Sure I can do that, but you're in the wrong place my dudes.
  • S S S S S
  • 33° 33° 33° 33°
  • You must know the three Laws: SOH = opposite/hypotenuse CAH = adjacent/hypotenuse TOA = opposite/adjacent
  • Please understand that SOH CAH TOA problems pertain to the Law of Sines, Law of Cosines and Law of Tangents. Here we have a right triangle.
  • 33°
  • So what now? Is this the plan, we're going to hit our enemies with a triangle?
  • What we're going to do is find the length of side S. In order to do that, we need to first find side T. We do this using the Pythagorean Theorem.
  • OH! We learned this in basic training. The pythagorean thoerem is a2 + b2 = c2
  • Correct! But first, finding T means using the angle measure we are given, which is 33°. Using this Trig function will help us find side T. 
  • That sounds simple! Now how do we do that?
  • It's preferable to grab a TI-84 calculator and make sure your mode is in degrees. Then identify that by solving side T, TOA must be used as follows: Tan(33°) =T/15.  T=9.7
  • Okay my turn. So by using pythagorean theorem, the equation should look like (9.7)2 + S2 = (15)2 By doing the appropriate math, the value of S comes out to be 17.9.
  • That's it. You've solved all the sides of the triangle. If you'd like, you can even solve for all the angles with only being given the sides. But that's for another day.
  • = 9.7
  • = 17.9
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