Super simple trig/algebra div q for someone

[mathtwit]

Trying to clear some cobwebs from my memory.

\(\displaystyle \huge\frac{x \sin x}{ x^2 }\)

Is this equal to sin(1) or is it

\(\displaystyle \huge\frac{\sin x}{x}\)

Or both?

Mostly I'm misremembering how to treat the stuff to the right of the trig ftn.

 

[stapel]

If x = 1, then the expression simplifies to "sin(1)". If the value of x is unknown or unspecified, then you can only do the algebraic simplification.

Obviously, f(x) ÷ x is not usually going to simplify to "1" unless f(x) = x, and "x sin(x)" is not equivalent to 1.

Eliz.