1.

Value of (tan1° tan2° tan3° ………..tan89°) is:1). 12). 893). Undefined4). 0

Answer»

We KNOW that, TAN(90 - θ) = cot(θ)

tan 89 can be written as cot 1 [tan(90 - 1) = cot 1]

So,

tan 88 = cot 2

tan 87 = cot 3

up to tan 46 = cot 44

then middle one is tan 45 = 1

Hence the expression becomes

tan 1 × tan 2...........tan 44 × tan 45 × cot 44..............cot 1

as tanθ × cotθ = 1 hence tan and cot GETS cancelled

Thus the value that remain is tan 45 i.e. 1


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