verify cot(x) + cot(y) / tan(x) + tan(y) = cot(y) cot(x)

Question

verify the identity

Answer 1

Numerator becomes

(sin y cos x + sin x cos y) / sin x cos y )

Denomonator becomes

(sin x cos y + sin y cos x) / (sin y cos y)

Can you invert, multiply, reduce, and answer?

Answer 2