# sin^2(x)

• Jan 31st 2011, 02:27 PM
frankinaround
sin^2(x)
is sin^2(x) = (sin(x))^2 or sin (x^2) ?
• Jan 31st 2011, 02:33 PM
Plato
$\sin^2(x)=[\sin(x)]^2$ and that second way is how many calculators and computer algebra systems require it be done.
But historically the first way is preferred.
• Jan 31st 2011, 02:33 PM
e^(i*pi)
$\sin^2(x) = \sin(x) \sin(x) = [\sin(x)]^2$

This holds for any positive integer