Learn how to solve problems step by step online. (cos(x)+cot(x))/(cos(x)-cot(x)). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Kombiniere alle Terme zu einem einzigen Bruch mit \sin\left(x\right) als gemeinsamen Nenner. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Wenden Sie die Formel an: a+\frac{b}{c}=\frac{b+ac}{c}, wobei a=\cos\left(x\right), b=-\cos\left(x\right), c=\sin\left(x\right), a+b/c=\cos\left(x\right)+\frac{-\cos\left(x\right)}{\sin\left(x\right)} und b/c=\frac{-\cos\left(x\right)}{\sin\left(x\right)}.

(cos(x)+cot(x))/(cos(x)-cot(x))