Graphing the Tangent Function

Explore this applet by watching how it is using the Unit Circle to graph the cosine function.
[math][/math]Why does the graph of [math]y=cosx[/math] have x-intercepts at 90[math]^{\circ}[/math] , 270[math]^{\circ}[/math] , 450[math]^{\circ}[/math] , etc.?
[math][/math]Why does the graph of [math]y=sinx[/math] have maximums/minimums at 90[math]^{\circ}[/math] , 270[math]^{\circ}[/math] , 450[math]^{\circ}[/math] , etc.?
[math][/math]Why does the graph of [math]y=tanx[/math] have x-intercepts at 0[math]^{\circ}[/math] , 180[math]^{\circ}[/math] , 360[math]^{\circ}[/math] , etc.?
[math][/math]What is the period of the graph of [math]y=tanx[/math]? Explain why that is the case.
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Information: Graphing the Tangent Function