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Best Answer: You're wrong about what the arctan function is. arctan is that function that answers the question, What angle theta yields the tan (theta) = x? arctan 0 = 0 because the tan 0 = sin 0 / cos 0 = 0/1 = 0.
For y = arctan x : By convention, the range of arctan is limited to -90Â° to +90Â°. So if you use a calculator to solve say arctan 0.55, out of the infinite number of possibilities it would return 28.81Â°, the one in the range of the function. In the figure above, click 'reset' and 'hide details'.