Final answer to the problem
Step-by-step Solution
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Start by simplifying the left side of the identity: $\frac{\sin\left(-x\right)}{1-\cos\left(-x\right)}$
I. Express the LHS in terms of sine and cosine and simplify
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$\frac{-\sin\left(x\right)}{1-\cos\left(x\right)}=-\csc\left(x\right)-\cot\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(-x)/(1-cos(-x))=-csc(x)-cot(x). Start by simplifying the left side of the identity: \frac{\sin\left(-x\right)}{1-\cos\left(-x\right)}. section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Multiply and divide the fraction \frac{-\sin\left(x\right)}{1-\cos\left(x\right)} by the conjugate of it's denominator 1-\cos\left(x\right).