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Please answer the screenshot question

Please answer the screenshot question-example-1
User Mrdoob
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1 Answer

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Answer:

  • sin(H) = 4/5
  • cos(H) = 3/5
  • tan(H) = 4/3

Explanation:

You want the primary trig functions of angle H in right triangle FGH with sides FG=12, GH=9, FH=15.

Trig ratios

The mnemonic SOH CAH TOA is intended to help you with problems like this. Its purpose is to remind you that ...

  • Sin = Opposite/Hypotenuse
  • Cos = Adjacent/Hypotenuse
  • Tan = Opposite/Adjacent

With respect to angle H, the sides are ...

  • Opposite = 12
  • Adjacent = 9
  • Hypotenuse = 15

Then the values you want are ...

sin(H) = 12/15 = 4/5

cos(H) = 9/15 = 3/5

tan(H) = 12/9 = 4/3

User LordWilmore
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