text: ## Algebra and Trigonometry 10th Edition
  
  The identity is verified. $\frac{csc(-x)}{sec(-x)}=-cot~x$
  $\frac{csc(-x)}{sec(-x)}=\frac{-csc~x}{sec~x}=-\frac{\frac{1}{sin~x}}{\frac{1}{cos~x}}=-\frac{1}{sin~x}~\frac{cos~x}{1}=-\frac{cos~x}{sin~x}=-cot~x$
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