Problem no. 21

Geometry Level 2

$\large \log{\tan{1^o}}+\log{\tan{2^o}}+\ldots +\log{\tan{89^o}}=\ldots$

0

\frac{\sqrt{3}}{3}

1

\sqrt{3}

\infty

1 solution

Venkata Teja B
Mar 30, 2015

tan89 = cot1

log(tan88)=log(cot2)=-logtan2

only log(tan45) remains which is equal to zero