SNAP 2018 Logarithms Question (Medium)

Question

Find the value of log tan 1 log tan 2 ... log tan 89 .

Optima Learn · Accepted Answer

Understanding We need to evaluate the sum log tan 1 log tan 2 ... log tan 89 . Analyzing Using the identity tan tan 90 - 1, the terms pair up 1 , 89 , 2 , 88 , ..., 44 , 46 , with each pair s tangents multiplying to 1, while tan 45 1 stands alone in the middle. Since the sum of logs equals the log o

SNAP 2018 Logarithms — Previous Year Question

SNAP 2018

Quantitative

Logarithms

Medium

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