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Why does the 'ATAN' function in Excel differ greatly from that of a scientific calculator?
It is because the angles in Excel are measured in radians, not degrees. Often the default setting for measuring angles - even on scientific calculators - is the elementary mathematical degrees rather than the more advanced mathematicians' radians.
180 degrees = pi radians.
So Excel gives ATAN(1) = 0.7854 radians which is 0.7854*180/pi = 45 degrees.
Note that all trig functions in Excel are based on angles measured in Radians NOT degrees.
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