How do you determine the phase shifts for sine and cosine graphs

👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a sinusiodal graph with x-intercepts at x = n*pi/2, maximum value of 1 at x = 2n*pi and minimum value of -1 at x = (2n - 1)pi. To graph the sine and the cosine graph, we plot the above points on the x-y coordinate plane and graph accordingly.

After we have graphed the parent graph, we then apply the required transformations to the sine/cosine graph.  The amplitude is the maximum point on the graph, the period is the distance/time for a complete oscillation, the phase shift is the horizontal shift from the parent function, the vertical shift is the vertical shift from the parent function.

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Organized Videos:
✅ How to Graph Trigonometric Functions
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✅ How to Graph The Cosine Function
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✅ How to Graph The Tangent Function
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✅ How to Graph Cosecant Function
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✅ How to Graph The Secant Function
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