To use this Desmos graph adjust the 4 numbers above the table and you’re all set. Your scores will appear on the graph and in the right column of the table.

To study the effect of the 4 inputs work, change them or drag the two highlighted points on the graph.

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]]>Look at the proof of d/dx(sin(x)) which is done in radians. If instead you use x in degrees you will see the factor of pi/180 in the part of the proof where the sector area formula (in degrees) is used.

Another approach is to graph sin(x) and x separately. Look at the graph near the origin in radians and you will see the graphs are on top of each other and the y-coordinates are nearly the same; hence their ratio is 1 (as is the ratio of their slopes as per L’Hospital’s rule). If you then graph in degrees you will see the graphs and their slopes are quite different.

HTH

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