Why is day and night the same length on at the equator throughout the year?
Actually it isn’t, day-time at the equator is shorted in both the summer and winter as the sun migrates up to the tropic of Capricorn and down to the tropic of Cancer. (It is of course the relative orientation of the Earth that varies but for purposes of this question lets just believe that its the sun that moves. It makes the explanation simpler.) Its just that the amount of time lost isn’t all that ‘important’ as far as weather is concerned.