# Based on the given figure, find the following values of trigonometric functions.?

Answer must be in a radical in simplified form.

Sin A

Sin B

Cos A

Cos B

Tan A

Tan B

If you can show me how to work this out, I will most likely be able to do the other problems like this. Thanks

### 1 Answer

- MichaelLv 79 months agoFavorite Answer
Find the hypotenuse of the right triangle

x² = 8² + 12²

x² = 64 + 144

x² = 208

x = √208

x = 4√13

hyp = 4√13

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Sin A = opp/hyp

SinA = 12/(4√13)

SinA = 3/√13

SinA = (3√13) / 13 <–––––

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SinB = opp/hyp

SinB = 8 / (4√13)

SinB = 2/√13

SinB = (2√13) / 13 <–––––

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CosA = adj/hyp

CosA = 8/(4√13)

CosA = 2/√13

CosA = (2√13) / 13 <–––––

-------------------

CosB = adj/hyp

CosB = 12/(4√13)

CosB = 3/√13

CosB = (3√13) / 13 <–––––

-------------------

TanA = opp/adj

TanA = 12/8

TanA = 3/2 <––––––

-----------------

TanB = opp/adj

TanB = 8/12

TanB = 2/3 <––––––

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