$\sin (\alpha )={\displaystyle \frac{\text{Gegenkathete}}{\text{Hypotenuse}}}\backslash sin\; (\backslash alpha\; )=\backslash dfrac\{\backslash text\{Gegenkathete\}\}\{\backslash text\{Hypotenuse\}\}$

Gegenkathede = $\mathrm{0,8}0\{,\}8$

Hypothenuse = $\sqrt{{\mathrm{0,6}}^2+{\mathrm{0,8}}^2}=\sqrt{1}=1\backslash sqrt\{0\{,\}6^2+0\{,\}8^2\}=\backslash sqrt\{1\}=1$

$\sin ({53}^{\circ })={\displaystyle \frac{\mathrm{0,8}}{1}}=\mathrm{0,8}\backslash sin\; (53^\backslash circ)=\backslash dfrac\{0\{,\}8\}\{1\}=0\{,\}8$

$\sin (\alpha )={\displaystyle \frac{\text{Gegenkathete}}{\text{Hypotenuse}}}\backslash sin\; (\backslash alpha\; )=\backslash dfrac\{\backslash text\{Gegenkathete\}\}\{\backslash text\{Hypotenuse\}\}$

$\sin 30\mathrm{°}=\mathrm{0,5}\backslash sin\; 30°=0\{,\}5$

${\displaystyle \frac{8}{17}}=\mathrm{0,47}\backslash dfrac\{8\}\{17\}=0\{,\}47$

${\displaystyle \frac{15}{17}}=\mathrm{0,88}\backslash dfrac\{15\}\{17\}=0\{,\}88$

Keiner der beiden Quotienten ergibt $\mathrm{0,5.}0\{,\}5.$