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Mathematics 17 Online
OpenStudy (anonymous):

Is saying both of these the same thing?

OpenStudy (anonymous):

\[\tan^2 x\] and \[\tan(x^2)\]

jimthompson5910 (jim_thompson5910):

no, those are two completely different things the first one is really saying ( tan(x) )^2

OpenStudy (anonymous):

Ah. Okay. So to type in the first form into my calculator, I do (tan(x))^2, correct?

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (anonymous):

Thanks!

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

No. tan^2(x) is (tan x)^2. tan (x^2) is completely different. For example, take x = 5 radians. tan^2(5) = 11.43, while tan (5^2) = tan(25) = -0.1335.

OpenStudy (anonymous):

All right, thanks again, guys! ^.^

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