How do you graph tan(x/2)?

1 Answer
1s2s2p
Mar 19, 2018

Assuming you know what a tan function looks like, then we know that y=f(x), f(x)=tanx

When y=f(x/a), the function is squished along the x-axis by a. So, a= represents all the x-values being doubled. So if for a function f(x), f(2)=5 and f(4)=12, with f(x/2) - f(4)=5#

So, y=tan(x/2) would be y=tanx but each value of x would be doubled.

y=tanx:
graph{tanx [-10, 10, -5, 5]}

y=tan(x/2):
graph{tan(x/2) [-10, 10, -5, 5]}

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