Question

C = tan5\(^o\).tan10\(^{^o}\).tan15\(^o\).....tan80\(^o\).tan85\(^o\)

Answer 1

\(C=tan5\cdot tan85\cdot tan10\cdot tan80\cdot...\cdot tan40\cdot tan50\cdot tan45\)

\(=tan5\cdot cot5\cdot tan10\cdot cot10\cdot...\cdot tan40\cdot cot40\cdot1\)

\(=1\cdot1\cdot...\cdot1\)

=1