What Is an asymptote? Explain, using mathematical language please. Where and Why in reciprocal functions?,....

Question

Where and why do they occur in reciprocal functions?

Answer 1

asymptotes are the boundry line that functions approach but never hit

they occur in the reciprocal functions of sec and csc when cos and sin =0 because they are then 1/0 but that can not happen

for tanthe asymptote is when cos =0 because tan = sin /cos