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In \(\triangle{RST}\), shown, \(\sin{R}=\frac{2}{5}\). What is \(\sin{T}\)?

 Dec 15, 2021
 #1
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sinθ = opposite/hypotenuse

 

hence because sinR = 2/5,

opposite = 2 units

hypotenuse = 5 units

 

using the pythagorean theorem, the adjacent side to angle R would be:

\(=\sqrt{5^2 - 2^2}\)

\(= \sqrt{21}\)

 

therefore sinT = \(\frac{\sqrt{21}}{5}\)

 Dec 15, 2021
 #3
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+1

Your answer is more intelligent than mine. laugh

Guest Dec 15, 2021
 #2
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(sin R)2 + (sin T)2 = 1

 

sin(T) = 0.916515139    or   809995 / 883777

 Dec 15, 2021

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