Question
The value of logtan1° + logtan2° +....+logtan89°
is:Solution
Using the property: log (tan x)+log (tan (90 °− x))=0\log (\tan x) + \log (\tan (90 ° - x)) = 0log(tanx)+log(tan(90 °− x))=0 Pairs like log(tan1 ° ) + log(tan89 ° ) = 0 cancel out, resulting in a total sum of 0 .
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