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Oksanka [162]
2 years ago
14

I need help. Find the ratio of the trig function.

Mathematics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

tanΘ = \frac{4}{3}

Step-by-step explanation:

tanΘ = \frac{opposite}{adjacent}

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = \sqrt{256} = 16

then

tanΘ = \frac{16}{12} = \frac{4}{3}

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