Final answer to the problem
Step-by-step Solution
Specify the solving method
Multiplying polynomials $\cos\left(x\right)$ and $\csc\left(x\right)-\sin\left(x\right)$
Learn how to solve differential calculus problems step by step online.
$\cot\left(x\right)-1=\cos\left(x\right)\csc\left(x\right)-\cos\left(x\right)\sin\left(x\right)$
Learn how to solve differential calculus problems step by step online. Prove that cot(x)-1=cos(x)(csc(x)-sin(x)) is not an identity. Multiplying polynomials \cos\left(x\right) and \csc\left(x\right)-\sin\left(x\right). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right). Apply the trigonometric identity: \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}=\cot\left(\theta \right).