Hi,

I have the following:

Consider the following two expressions:

f(x) = e ^(2x) − (e^(x) cos x)^ (2)/x^2 and g(x) = (e^xsin x/x)^2

I have to show that these equations are equal for x not equal to 0.

I have a couple of basic questions:

When an expression is expressed to the power 2 (say) is it that case that to multiply a term by an exponent you add exponents?

I am given the hint: cos^(2) x + sin^(2) x (cos squared x plus sin squared x) = 1

I have fiddled around a bit however can't work out how that hint helps...does anyone have any other ideas?

Any help welcome

Kind regards

Beetle