SOLUTION: Find the smallest positive number t such that cos[tan(t)] = 0.6

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Question 568470: Find the smallest positive number t such that
cos[tan(t)] = 0.6

Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
     cos[tan(t)] = 0.6

Be sure calculator is in radian mode.
Take the inverse cosine of both sides:

cos-1[cos(tan(t)] = cos-1(0.6)

          tan(t) = .927295218

Take the inverse tangent of both sides:

    tan-1[tan(t)] = tan-1(.927295218)

               t = .7476923037

Edwin