Answer:

Step-by-step explanation:

log 1 +log 1 =0+0 =0   [tan 45 =1/cot45 =1 ]

Answer:

log( tan 45 degree) + log (cot 45 degree)​ = 0

Step-by-step explanation:

The given question is to find the value of log( tan 45 degree) + log (cot 45 degree)​. This can be calculated as shown below as:

Using the property of law as:

log (xy) = log x + log y

Thus,

log( tan 45 degree) + log (cot 45 degree)​ = log (tan 45° × cot 45° )

Also, using the trigonometric relation of angle in tan and the angle in cot as:

tan x  = 1/ cot x

Thus,

log (tan 45° × cot 45° ) = log 1

Also, log 1 = 0

So,

log( tan 45 degree) + log (cot 45 degree)​ = 0