# Evaluate the Limit limit as n approaches (pi/2) of (cos(n))/(sin(2n))

Apply trigonometric identities.
Rewrite as a product.
Write as a fraction with denominator .
Simplify.
Divide by .
Convert from to .
Take the limit of each term.
Split the limit using the Product of Limits Rule on the limit as approaches .
Move the limit inside the trig function because cosine is continuous.
Move the limit inside the trig function because cosecant is continuous.
Move the term outside of the limit because it is constant with respect to .
Evaluate the limits by plugging in for all occurrences of .
Evaluate the limit of by plugging in for .
Evaluate the limit of by plugging in for .
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Evaluate the Limit limit as n approaches (pi/2) of (cos(n))/(sin(2n))