How do you graph and list the amplitude, period, phase shift for $y = \frac{2}{3} tan (\frac{θ}{3})$ $y=2/3tan(theta/3)$ ?

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How do you graph and list the amplitude, period, phase shift for $y = \frac{2}{3} tan (\frac{θ}{3})$ $y=2/3tan(theta/3)$ ?

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Answer 1 · 2018-03-21T09:45:50

$tan (θ) function doesn't have amplitude$ $tan (theta) " function doesn't have amplitude"$

$Period = 3 π$ $"Period " = 3 pi$

$Phase Shift = 0, Vertical Shift = 0$ $"Phase Shift " = 0, " Vertical Shift " = 0$

Explanation:

Standard Form $y - a tan (B x - C) + D$ $y - a tan (Bx - C) + D$

Given $y = (\frac{2}{3}) tan (\frac{θ}{3})$ $y = (2/3) tan (theta/3)$

$A m p l i t u d e = | A | = None$ $Amplitude = |A| = "None"$ as $tan (θ) function doesn't have amplitude$ $tan (theta) "function doesn't have amplitude"$

$Period = \frac{π}{| B |} = \frac{π}{\frac{1}{3}} = 3 π$ $"Period " = pi / |B| = pi / (1/3) = 3 pi$

$Phase Shift = - \frac{C}{B} = 0$ $"Phase Shift " = -C / B = 0$

$Vertical Shift = D = 0$ $"Vertical Shift " = D = 0$
graph{(2/3)tan(x/3) [-10, 10, -5, 5]}

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How do you graph and list the amplitude, period, phase shift for $y = \frac{2}{3} tan (\frac{θ}{3})$ $y=2/3tan(theta/3)$ ?

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Explanation:

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How do you graph and list the amplitude, period, phase shift for $y = \frac{2}{3} tan (\frac{θ}{3})$ $y=2/3tan(theta/3)$ ?