In \(\triangle{RST}\), shown, \(\sin{R}=\frac{2}{5}\). What is \(\sin{T}\)?
+592 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 = \(\frac{\sqrt{21}}{5}\)
