Sin x^2, Sin^2 x, (Sinx)^2Date: 09/12/2001 at 09:51:32 From: Rob Subject: Sin What is the difference between sin x^2, sin^2 x, and (sinx)^2? Date: 09/12/2001 at 10:47:22 From: Doctor Ian Subject: Re: Sin Hi Rob, Suppose x = pi/6, which means that sin x = 1/2. Then 1. sin x^2 = sin ((pi/6)^2) = sin (pi^2/36) 2. sin^2 x = (sin pi/4)^2 = (1/2)^2 = 1/4 3. (sin x)^2 = sin^2 x It would seem pretty natural to think that sin^2 x = sin(sin x) but this isn't the convention that's been adopted. Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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