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Combine all terms into a single fraction with $\sin\left(x\right)$ as common denominator
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$\frac{\cos\left(x\right)^2+\sin\left(x\right)^2}{\sin\left(x\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (cos(x)^2)/sin(x)+sin(x). Combine all terms into a single fraction with \sin\left(x\right) as common denominator. Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}.