When graphing the sine and cosine curves, remember to write the key components first, such as
Amplitutde
Period
Max
Min
Spaces
Phase Shift
Transformation
For example, for y = sinx and y = cosx
Amplitude = 1
Period = 2Pi
Max = 1
Min = -1
Spaces = 2Pi/4 = Pi/2
Phase shift : none
Transformation: none
The absolute value of the number in front of sin or cos is the amplitude
ex, y = 4sinx, amplitude is 4. y = -5cosx, amplitude is 5
Period for both sine and cosine is 2Pi/amplitude
Max and min with no transformation is amplitude times max and amplitude times min
Spaces is the Period divided by 4
There is a phase shift if there is a + or - with the angle..
For example y = sin(x - 1), has a phase shift of 1 to the right
y = sin(x + 1), has a phase shift of 1 to the left
There is a transformation if there is a + or - outside of the angle
For example, y = sinx + 2, transformation is 2 up
y = sinx - 2 , transformation is 2 down
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