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Mathematics 21 Online
quickstudent:

How are the graphs of the sine function and the cosine function different?

quickstudent:

The cosine graph is "slid back" along the x-axis the number of units corresponding to a right angle (90 deg, or pi/2 radians). The sine graph passes through the origin, but the cosine graph reaches its maximum value (1) when x = 0.

Hero:

@quickstudent replace "slid back" with "left-shifted". If I were you, I'd say: "The graph of the cosine function is the graph of the sine function shifted 90 degrees to the left." Afterwards, you can mention some other observations you make about their differences.

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