Pythagoras, sin, cos, tan

Bereken de grootte van de hoek(en) en de lengte van de zijde(n) in een rechthoekige driehoek

\(\) Canvas not Supported \(\)

\( a = \sqrt{14^2+5^2} \approx 14{,}866 \text{ (Pythagoras)} \\ \text{sin}(B)=\frac{14}{14{,}866} \Leftrightarrow B = \text{arcsin}(\frac{14}{14{,}866068747319}) \approx 70{,}346=70^\circ 20' 46{,}2" \text{ (Formule sinus)}\\ \text{sin}(C)=\frac{5}{14{,}866} \Leftrightarrow C = \text{arcsin}(\frac{5}{14{,}866068747319}) \approx 19{,}654=19^\circ 39' 13{,}8" \text{ (Formule sinus)}\\ -----alternatief----\\ \text{tan}(B)=\frac{14}{5} \Leftrightarrow B = \text{arctan}(\frac{14}{5})\approx 70{,}346=70^\circ 20' 46{,}2" \text{ (Formule tangens)}\\ \text{tan}(C)=\frac{5}{14} \Leftrightarrow C = \text{arctan}(\frac{5}{14})\approx 19{,}654=19^\circ 39' 13{,}8" \text{ (Formule tangens)}\\ -----controle-----\\ B + C = 90^\circ \Leftrightarrow 70^\circ 20' 46{,}2"+19^\circ 39' 13{,}8" = 90^\circ \text{(Complementaire hoeken)}\)