Quotient Rule with Trig Functions Problem 2 (Calculus 1)

Seems like a straightforward Quotient Rule problem with trig functions, right? It is but we can simplify our derivative considerably! This problem or one similar to it always tends to be a question on tests and exams in the beginning of a calculus 1 course. You're welcome. More problems are linked below.
Product Rule with Trig Functions Problem 1: • Product Rule with Trig...
Product Rule with Trig Functions Problem 2: • Product Rule with Trig...
Product Rule with Trig Functions Problem 3: • Product Rule with Trig...
Quotient Rule with Trig Functions Problem 1: • Quotient Rule with Tri...
Second Derivative with Trig Functions Problem 1: • Second Derivative with...
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