How do you graph $y=1/3 tanx$ and include two full periods?

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Answer 1 · 2018-08-13T03:22:29

See double-cycle graph.

$y = 1/3 tan x = 1/3 (sin x/cos x),$

$x ne$ ( zero of denominator ) $kpi, k = 0, 1, +-2, +-3, ...$ .

Tthe period of $oo$ -arm tan wave $= pi$ .

Amplitude of a wave of infinite length, about the axis y = 0 is pi/2.

x-intercepts ( zeros of the numerator )#

$x = ( 2 k + 1 )pi/2, k = 0, +-1, +-2, +-3, ...$

See $oo$ -arm tan waves, for two cycles, between ( asymptotic )

$x = +- pi$ . , .
graph{(3ysin x - cos x )(x+pi+0.0001y)(x-pi+0.0001y)=0[-5 5 -2.5 2.5]}

How do you graph y=1/3 tanxy=1/3 tanx and include two full periods?