When the sun is at an angle of elevation x, a tree with height 12 m casts a shadow of length, s, in metres.
a) show that the length of the shadow can be modelled by the relation s=12cotx
b) sketch a graph of s=12cotx on the interval XE[0, 2pi]
c) interpret the meaning of the graph as x approaches 0 and as x approached pi/2
I don't understand this question. I know that a graph y=tanx has a branch that goes through the orgin, and that cotx's graph is the reflection in the y-axis and shifted pi/2 right of y=tanx's graph. So, why is cotx right in this question and not tanx? I don't know how to do any of these three questions. Please help, Thanks.