text: # How do you find cot x if sin x cot x csc x = √2?
  
  Jan 4, 2016
  
   cot x = √2
  
  #### Explanation:
  
  note that the function # cscx = 1/sinx
  
  hence $\sin x \times \cot x \times \frac{1}{\sin} x = \sqrt{2}$
  
  cancelling out the $\sin x$ terms
  
  gives $\cot x = \sqrt{2}$