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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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asked
Aug 13, 2021
in
Mathematics Form 1
by
anonymous
edited
Aug 13, 2021
by
anonymous
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
-0.87
0
0.87
0.5
2 Sin (x – 30)º
1
-1.73
-2.0
-1
1.0
1.73
Using your graph
State the amplitude and the period of the graph y = 2 sin (x-30)0
Solve the equation
Sin xº = 2 sin (x-30)º
Describe fully the transformation that will map y = 2sin (x-30)0 on y = sin x
trigonometry
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1
Answer
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answered
Aug 13, 2021
by
anonymous
xº
-180
-150
-120
-90
-60
-30
0
30
60
90
120
150
180
Sin xº
0
-0.5
-0.87
-1.0
-0.87
-0.5
0
0.5
0.87
1.0
0.87
0.5
0.0
2 Sin (x – 30)º
1
0
-1.0
-1.73
-2.0
0
-1
0
1.0
1.73
2.0
1.73
1.0
Using your graph
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
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