Learn how to solve trigonometrische ausdrücke vereinfachen problems step by step online. Expand and simplify the trigonometric expression sec(x)(cot(x)-csc(x)). Multiplizieren Sie den Einzelterm \sec\left(x\right) mit jedem Term des Polynoms \left(\cot\left(x\right)-\csc\left(x\right)\right). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Anwendung der trigonometrischen Identität: \sec\left(\theta \right)=\frac{1}{\cos\left(\theta \right)}. Wenden Sie die Formel an: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, wobei a=\cos\left(x\right), b=\sin\left(x\right), c=1, a/b=\frac{\cos\left(x\right)}{\sin\left(x\right)}, f=\cos\left(x\right), c/f=\frac{1}{\cos\left(x\right)} und a/bc/f=\frac{\cos\left(x\right)}{\sin\left(x\right)}\frac{1}{\cos\left(x\right)}.

Expand and simplify the trigonometric expression sec(x)(cot(x)-csc(x))