Come valuti l'espressione #csc (pi / 4) #?
Risposta:
#sqrt2#
Spiegazione:
Using the #color(blue)"trig. identity"#
#color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(csctheta=1/sintheta)color(white)(a/a)|)))#
#rArrcsc(pi/4)=1/sin(pi/4)#
#color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sin(pi/4)=1/sqrt2)color(white)(a/a)|)))#
#rArrcsc(pi/4)=1/sin(pi/4)=(1)/(1/sqrt2)=sqrt2#