Simplify the trigonometric expression $\frac{\cos\left(x\right)^2-\left(1-\sin\left(x\right)\right)}{\cos\left(x\right)-\cos\left(x\right)\sin\left(x\right)}$

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$\frac{\cos\left(x\right)^2-1+\sin\left(x\right)}{\cos\left(x\right)-\cos\left(x\right)\sin\left(x\right)}$

Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (cos(x)^2-(1-sin(x)))/(cos(x)-cos(x)sin(x)). Simplify the product -(1-\sin\left(x\right)). Apply the trigonometric identity: -1+\cos\left(\theta \right)^2=-\sin\left(\theta \right)^2. Factor the polynomial -\sin\left(x\right)^2+\sin\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right). Factor the polynomial \cos\left(x\right)-\cos\left(x\right)\sin\left(x\right) by it's greatest common factor (GCF): \cos\left(x\right).