Question

Which expression is equivalent to sec2xcot2x?

Answer 1

The other guy was right, the answer is option B

Explanation:

B. csc^2x

Answer 2

The basic rule of cos is
cos x = 1 / sec x

so
sec 2x = 1 / cos 2x

cot 2x = 1 / tan 2x
tan 2x = sin 2x / cos 2x

so
cot 2x = cos 2x / sin 2x

therefore
sec2x cot2x
(1/cos2x) * (cos2x / sin2x)
1 / sin 2x

but sin 2x = 1 / cosec 2x

so the answer is cosec 2x