(Cos^2x-sin^2x)/ (sin x cos x)

Question

Terms of sin an cos simplify 

 

Answer 1

From trignometric identities, cos 2x = cos ²x - sin²x  and sin 2x = 2 sin x cos x. We can replace these as 

cos 2x / [(sin 2x)/2]

and simplify to 

(2 cos 2x)/(sin 2x)

(Since cot x = cos x/sin x, you could also write this as 2 cot 2x)