Question

Which expression is equivalent to sec2xcot2x?

A.
sin2x

B.
csc2x

C.
`(1)/(cos^2x)`

D.
`(1)/(tan^2x)`

Answer 1

b

Explanation:

Answer 2

Option B is correct answer.

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:

`sec2x\,\, cot2x\\=(1)/(cos 2x) * (1)/(tan 2x) \\=(1)/(cos 2x) * (cos2x)/(sin2x)\\=(1)/(sin 2x)\\=csc2x`

So, Option B is correct answer.