Find cot x if sin x cot x csc x = sqrt 2.

Solution:

Given expression is

sin x cot x csc x = √2

Using the trigonometric ratio,

csc x =(1/sin x)

Thus sin x. cot x .(1/sin x) = √2

sin x . (1/sin x) . cot x = √2

Therefore, cot x = √2

Find cot x if sin x cot x csc x = sqrt 2.

Summary:

If sin x cot x csc x = sqrt 2 is √2.