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

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Answer 1 · 2017-02-19T16:08:22

See the Socratic graph.

I use x for $θ$ $theta$ .

The cycle period is P = $\frac{π}{2} and 2 P = π$ $pi/2 and 2P = pi$

The span chosen is $x \in [- \frac{π}{2}, \frac{π}{2}] = [- 1.57, 1.57]$ $x in[-pi/2, pi/2] = [-1.57, 1.57]$ , nearly.

The asymptotes within this interval are $x = \pm \frac{π}{4} = \pm 0.78$ $x = +-pi/4=+-0.78$ , nearly

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

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