StrangeLove degree sum!

Algebra Level pending

Calculate the sum n = 1 89 log tan ( n ) = log tan ( 1 ) + log tan ( 2 ) + + log tan ( 8 9 ) \sum_{n=1}^{89} \log{\tan{(n^{\circ})}}=\log \tan(1^{\circ})+\log \tan(2^{\circ})+ \cdots +\log \tan (89^{\circ})


The answer is 0.

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1 solution

Sanyam Goel
May 30, 2016

@Cid Moraes Very strange to see that the same problem have been posted about 5 times before also . i suggest you that if you are posting any problem please check whether there is any copy of the same on brilliant ... :-)

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