Answer:
Option B is correct answer.
Step-by-step explanation:
We need to solve the expression sec2xcot2x.
We know sec x = 1/ cos x and cot x = 1/ tan x and tan x = sin x/cos x and 1/tanx = cosx /sinx
Since in question we 2x instead of x so, replacing x with 2x and Putting values:
[tex]sec2x\,\, cot2x\\=\frac{1}{cos 2x} * \frac{1}{tan 2x} \\=\frac{1}{cos 2x} * \frac{cos2x}{sin2x}\\=\frac{1}{sin 2x}\\=csc2x[/tex]
So, Option B is correct answer.
