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 .

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 .

Multiply by .

The exact value of is .

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