Trigonometric Limit: Solving (sin 2x)/(sin 5x) as x Approaches 0

[Xarkoth]

Homework Statement

lim (sin 2x)/(sin 5x)
x->0

Could someone please help me get started, I simply can't figure this one out.

Homework Equations

The Attempt at a Solution

 

[Mark44]

Do you know this limit?
$$\lim_{x \to 0} \frac{sin x}{x} = 1$$

To evaluate your limit, you need sin(2x)/2x and 5x/sin(5x). Multiply your expression by 1 in the appropriate form to get these two quotients.

 

[Xarkoth]

I figured it out, thanks man.