Wiskunde

\( a = \sqrt{5^2+8^2} \approx 9{,}434 \text{ (Pythagoras)} \\ \text{sin}(B)=\frac{5}{9{,}434} \Leftrightarrow B = \text{arcsin}(\frac{5}{9{,}4339811320566}) \approx 32{,}005=32^\circ 0' 19{,}4" \text{ (Formule sinus)}\\ \text{sin}(C)=\frac{8}{9{,}434} \Leftrightarrow C = \text{arcsin}(\frac{8}{9{,}4339811320566}) \approx 57{,}995=57^\circ 59' 40{,}6" \text{ (Formule sinus)}\\ -----alternatief----\\ \text{tan}(B)=\frac{5}{8} \Leftrightarrow B = \text{arctan}(\frac{5}{8})\approx 32{,}005=32^\circ 0' 19{,}4" \text{ (Formule tangens)}\\ \text{tan}(C)=\frac{8}{5} \Leftrightarrow C = \text{arctan}(\frac{8}{5})\approx 57{,}995=57^\circ 59' 40{,}6" \text{ (Formule tangens)}\\ -----controle-----\\ B + C = 90^\circ \Leftrightarrow 32^\circ 0' 19{,}4"+57^\circ 59' 40{,}6" = 90^\circ \text{(Complementaire hoeken)}\)

Goniometrie