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HELP!!!!!!!!!!!!!! I learned this two years ago and I don't remember how to do this anymore!!!!!!

Help????

HELP!!!!!!!!!!!!!! I learned this two years ago and I don't remember how to do this-example-1

1 Answer

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So remember the acronym "SOH CAH TOA"

  • Sin = Opposite/Hypotenuse
  • Cos = Adjacent/Hypotenuse
  • Tan = Opposite/Adjacent
  • Opposite = Side that doesn't touch the angle
  • Adjacent = Side that touches the angle
  • Hypotenuse = Side that is across from the right angle

A.

So we see that side a doesn't touch angle
\alpha , hence making it the opposite side. And we see that side b is across from the right angle, making it the hypotenuse. Using this info,
\sin \alpha = (a)/(b)

B.

So we already know from part A that side b is the hypotenuse. And also since side c touches the angle, it is the adjacent. Using this info,
\cos \alpha = (c)/(b)

C.

Next, it has been established that side c is the adjacent and side a is the opposite side. Using this info,
\tan \alpha = (a)/(c)

User Dan Champagne
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