23mking
23mking 23mking
  • 12-05-2022
  • Mathematics
contestada

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

I need help Find the ratio of the trig function class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-05-2022

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

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 = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

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