g(x)=min{sinx,cosx}

and state the domain and range

Printable View

- Nov 5th 2009, 11:58 AMwisezetaHow would you graph
g(x)=min{sinx,cosx}

and state the domain and range - Nov 5th 2009, 12:14 PMJameson
tan(x)=sin(x)/cos(x)

So when tan(x) < 1, that means that cos(x) > sin(x) and the opposite is true when tan(x) > 1. They are clearly equal when it equals 1.

Find where tan(x)=1 and then draw out the graph by hand a couple times to see the pattern. It is periodic. As for domain, what x-values are excluded from these functions? As for range, the lowest point for g(x) is when the biggest difference is between sin(x) and cos(x). The highest point is when they intersect, because at any point before and after the intersection one of the two must be below the other.