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Knowing the values of the unit circle helps you to fasten the understanding process.

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Graph every function, visualizing the equations helps you understand everything better.

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The sine is odd because it is symmetric to the origin.
The cosine is even because is symmetric to the y-axis

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Both of them have a range [-1.1].
Which means when there is no horizontal shift their y-axis goes solely from number in the range of -1 to 1

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Both of them have a domain of (- infinite, +infinite)

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Sine and Cosine are periodic functions, hence they repeat their values each 2pi times until positive and negative infinite.

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Both, the sine and cosine share a period of 2pi, which means they last until 2 pi.

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D is the horizontal shift, the one who indicates if the function shifts up or down.

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If it is negative it shifts to the right ( since -(+C) is -)
If it is positive it shifts left (since -(-C) is +)

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If it is positive it shifts right and if it is negative it shifts left.

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By dividing the C value by B, the variable related to the period.
C= C/B

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C is the vertical shift, meaning if it moves to the right or left of the exes.

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The formula of the period is:
P = 2pi / |B|
Hence, B is 2pi/ |P|

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B is related to the period, and tells us how the period is affected, stretched or compressed.

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By subtracting the highest and lower points and dividing them by two.
(hpoint + lpoint)/0.5

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|A| is the amplitude, meaning the vertical stretch factor, the units up or down it moves.

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Plot the points on the x and y axis.

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You can use multiple values to graph sine and/or cosine, the values repeat themselves  each 2pi times