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Combine all terms into a single fraction with $\cos\left(x\right)$ as common denominator
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$\frac{\frac{\sin\left(x\right)\cos\left(x\right)+\sin\left(x\right)}{\cos\left(x\right)}}{\frac{1}{\cos\left(x\right)}+1}$
Learn how to solve problems step by step online. Find the derivative using the product rule (sin(x)+sin(x)/cos(x))/(1/cos(x)+1). Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. We can simplify the quotient of fractions \frac{\frac{\sin\left(x\right)\cos\left(x\right)+\sin\left(x\right)}{\cos\left(x\right)}}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}} by inverting the second fraction and multiply both fractions. Simplify the fraction .