Help with Mrs. Hale

Help with Mrs. Hale

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  • Hey Ms.Hale, I was wondering if I could get some extra help with the unit we are on
  • SOH CAH TOA problems, Law of Sines and Law of Cosines Problems 
  • Okay, meet me in the class in 10 minutes. 
  • Sure, what do you need help with?
  • TOA-> Tan= opposite/hypotenuse
  • CAH-> Cos= adjaent/hypotenuse
  • SOH-> SIn= opposite/adjacent
  • In order to do SOH CAH TOA problems, you need to know what each part means
  • Great, now thats the basis to what you will need to know. Lets try example
  • This is a special right triangle, and we need to find the length of side S.
  • We can perform the pythagorean theorem. 
  • In order to do that, you need to first know the other side length. Since this is a right triangle..
  • T
  • 15
  • S
  • 33 degrees
  • Not just yet, but yes that is a step. Our first step is to find side T. To do that,
  • You need to find out which trig function you need to use by placing the "stick man"
  • And since we need to find side T, we need to put the stick man with the angle it corresponds with which is angle 33
  • Correct, we then find out which trig function helps us find side T
  • T
  • 15
  • 33
  • S
  • So we would use tangent, since T is our opposite with the corresponding angle being 33 degrees
  • So now we can do the pythagorean theorem which would give us side S being 17.9 units long
  • Correct, so the equation would be tan(33)=t/15 which gives us T=9.7
  • Correct! Now we can move on to the Laws of Sine's and Cosine's
  • T= 9.7 units
  • 15
  • 33
  • S=17.9 units
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