# Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range

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1. Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range
– 180 ≤ x ≤180
 xº -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180 Sin xº 0 -1 -0.87 0 0.87 0.5 2 Sin (x – 30)º 1 -1.73 -2 -1 1 1.73
1. State the amplitude and the period of the graph y = 2 sin (x-30)0
2. Solve the equation
Sin xº = 2 sin (x-30)º
3. Describe fully the transformation that will map y = 2sin (x-30)0 on y = sin x

1.  xº -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180 Sin xº 0 -0.5 -0.87 -1 -0.87 -0.5 0 0.5 0.87 1 0.87 0.5 0 2 Sin (x – 30)º 1 0 -1 -1.73 -2 0 -1 0 1 1.73 2 1.73 1

• State the amplitude and the period of the graph y = 2 sin (x-30)0
y = 2sin(x- 30º)
Amplitude = 3units
Period = 360º
• Solve the equation
Sin xº = 2 sin (x-30)º
SinX = 2Sin (x – 30º)
X = -126º cr 51.50 ±1º
• Describe fully the transformation that will map y = 2sin (x-30)0 on y = sin x
+30
0 Translation