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$c=\frac{\cos\left(5t\right)}{\sin\left(t\right)\cos\left(t\right)}$
Learn how to solve problems step by step online. \frac{\cos \left(4\theta \right)}{\sin \left(\theta \right)}-\frac{\sin \left(4\theta \right)}{\cos \left(\theta \right)}=\frac{\cos \left(5\theta \right)}{\sin \left(\theta \right)\cos \left(\theta \right)}. Math interpretation of the question. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The power of a product is equal to the product of it's factors raised to the same power. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=.