"verify the identity of (sinx cosx)^2/sinx cosx = 2 + secx cscx" this is for a friend and she's needing big time

Step by step

The identity should be:

You missed a + there in the numerator, otherwise it would not be an identity.

Expand the square on the numerator:

Replace with :

Combine like terms:

Distribute the denominator through each term of numerator:

Simplify the second fraction:

Use the reciprocal identities: sin(x)=1/csc(x) and cos(x) = 1/sec(x):

Re-ordering:

true

step-by-step explanation: