Can someone please explain to me why in this problem, for example, the sine and cosine functions are used in equating the force's components? I am having a hard time solving for these unknown forces because of my rusty trig skills. It asks to "determine the maximum weight of the flowerpot that can be supported without exceeding a cable tension of 50lb in either cable AB or AC." My professor provided these calculations: ∑Fx=0 F_AC*sin(30)-F_AB*cos(53.13)=0 50*sin(30)-F_AB*cos(53.13)=0 F_AB=41.66lb ∑Fy=0 F_AC*cos(30)+F_AB*sin(53.13)-W=0 50*cos(30)+41.66*sin(53.13)-W=0 W=76.63 lb Why did they use the sine and cosine functions for this specific problem. Where they used the sine function, for example, why couldn't they have used a tangent function instead?