How do you graph two cycles of #y=0.5tan(2theta)#?

Answer 1

James Adkins

See the Socratic graph.

I use x for #theta#.

The cycle period is P =#pi/2 and 2P = pi#

The span chosen is #x in[-pi/2, pi/2] = [-1.57, 1.57]#, nearly.

The asymptotes within this interval are #x = +-pi/4=+-0.78#, nearly

graph{1/2tan(2x) [-1.57, 1.57, -.785, .785]}

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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