Can someone check this, please (I do report as needed and I do mark brainliest)? Thank you!

Answer:
Step-by-step explanation:
cotx/cscx=cosx
Start on the left side.
cos(x) csc(x)
Apply the reciprocal identity to csc (x) .
cos(x) 1/sin(x)
Simplify
cos(x) 1/sin(x)cos(x)/sin(x)
Rewrite cos(x)/sin(x) as cot(x) .
cot(x)
Because the two sides have been shown to be equivalent, the equation is an identity.
cos(x) csc(x)=cot(x) is an identity
cot(x)−tan(x)/sin(x)cos(x)=csc^2(x)−sec^2(x) is an identity
You are correct :)