Learn how to solve problems step by step online. (1+csc(x))/(cos(x)-cot(x)). 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)}. Wenden Sie die Formel an: \frac{a}{\frac{b}{c}}=\frac{ac}{b}, wobei a=1+\csc\left(x\right), b=-\cos\left(x\right)+\cos\left(x\right)\sin\left(x\right), c=\sin\left(x\right), a/b/c=\frac{1+\csc\left(x\right)}{\frac{-\cos\left(x\right)+\cos\left(x\right)\sin\left(x\right)}{\sin\left(x\right)}} und b/c=\frac{-\cos\left(x\right)+\cos\left(x\right)\sin\left(x\right)}{\sin\left(x\right)}. Faktorisieren Sie das Polynom -\cos\left(x\right)+\cos\left(x\right)\sin\left(x\right) mit seinem größten gemeinsamen Faktor (GCF): \cos\left(x\right).

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