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Loss of precision

• To: mathgroup at smc.vnet.net
• Subject: [mg126611] Loss of precision
• From: sam.takoy at yahoo.com
• Date: Fri, 25 May 2012 04:56:09 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi,

I understand intuitively why Sin[Large Number] cannot be computed too accurately. For example

Precision[Sin[SetPrecision[10^10, 100]]] = 89.75

We can I find an explanation of precisely why and how 100 becomes 89.75.

Many thanks in advance,

Sam