Question

Which expression is equivalent to sec^2xcot^2x?

Answer 1

$\sec x=\dfrac{1}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}$


$\sec^2x\cot^2x=\dfrac{1}{\cos^2x}\cdot\dfrac{\cos^2x}{\sin^2x}=\dfrac{\cos^2x}{\cos^2x\sin^2x}=\dfrac{1}{\sin^2x}$

Answer 2

Answer:

csc^2(x)

Step-by-step explanation:

https://socratic.org/questions/how-do-you-simplify-sec-2xcot-2x

I used this and got a 100 on my test.