How do you find the amplitude, period and graph $y = sin (2 θ)$ $y=sin(2theta)$ ?

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Answer 1 · 2018-06-14T05:54:52

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Given: $y = sin (2 θ)$ $y = sin(2 theta)$

The standard equation of a sine function looks like:

$y = A sin (B (θ - C)) + D$ $y = A sin (B(theta - C)) + D$ , where $A =$ $A =$ amplitude,

$B = \frac{2 π}{period}$ $B = (2 pi)/"period"$ , $C = phase shift and D = vertical shift$ $" "C = "phase shift and "D = "vertical shift"$

In the given equation:

$A = 1; p e r i o d = \frac{2 π}{B} = \frac{2 π}{2} = π$ $A = 1; " "period = (2 pi)/B = (2 pi)/2 = pi$

On a graphing calculator make sure you are in radian MODE.

graph{sin(2 x) [-5, 5, -2.5, 2.5]}

How do you find the amplitude, period and graph y=sin(2θ)y=sin(2theta)?