Question

Log tan1°+ log tan2°+ log tan3°.......... Log tan89°=?

Answer 1

Answer:

zero

Step-by-step explanation:

using log(a) + log(b) is log(ab) and Tan A * Tan B is 1 if A and B are Complementary angle ie their sum is right angle

given expression = log{(tan 1*tan 89) (tan 2* tan 88)...(tan 44*tan46) *tan45)}= log(1*1*1*... *1) = log(1) = 0