log tan 1° + log tan 2° + _____ + log tan 89° is 1

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log tan 1° + log tan 2° + _____ + log tan 89° is 1

1. 1
2. 1/√2
3. 0
4. – 1

Correct Option: C

log tan 1° + log tan 89° = log(tan 1° × tan 89°)
= log(tan 1° × cot 1°)
= log 1 = 0
Using the same logic total sum is ‘0’.