Question

If(logtan5°)(log tan10 °)(logtan 15°)... (logtan 60°)=x
find x

Answer 1

x=(log tan5°)(log tan10°)......(log tan45°)...(log tan60°)
x=(log tan5°)(log tan10°)......(log(1))..(log tan60°)
x=(log tan5°)(log tan10°)......(0)..(log tan60°)
X=0
since tan45°=1
and log(1)=0
so x=0