# Evaluate limit as x approaches 0 of (tan(2x))/(sin(2x))

Apply trigonometric identities.
Rewrite in terms of sines and cosines.
Rewrite as a product.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Convert from to .
Take the limit of each term.
Move the limit inside the trig function because secant is continuous.
Move the term outside of the limit because it is constant with respect to .
Evaluate the limit of by plugging in for .