SOLUTION: I have a pretty interesting problem today: I am told to use a graphing calculator and enter this function: y = tan x cot x I know that tan and cot individually are the opposi

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Question 813609: I have a pretty interesting problem today:
I am told to use a graphing calculator and enter this function: y = tan x cot x
I know that tan and cot individually are the opposites of each other. When I put the above equation into a graphing calculator, I just get a straight horizontal line at the y = 1 However, I am told this graph is overlooking something, but am not sure what. I thought it might be the asymptotes, but I don't know. So, what is wrong/being overlooked by the calc in the creation of the graph?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
y = tan x cot x Or y = tans x/tan x
Yes y =1, However, Note: at x = 0 , tan x = 0
θ radians sin θ cos θ tan θ
0° 0 0 1 0
30° π/6 1/2 √3/2 √3/3
45° π/4 √2/2 √2/2 1
60° π/3 √3/2 1/2 √3
90° π/2 1 0 ─

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