# 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 $\cot x = \sqrt{2}$