Krosnift
Krosnift Krosnift
  • 18-06-2021
  • Mathematics
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Express sin T as a fraction in simplest terms.

Express sin T as a fraction in simplest terms class=

Respuesta :

jimrgrant1 jimrgrant1
  • 18-06-2021

Answer:

sinT = [tex]\frac{15}{17}[/tex]

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = [tex]\sqrt{1156}[/tex] = 34 , then

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]

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