Question 599287
tan^2(x)cos^2(x)+cot^2(x)sin^2(x)


(sin^2(x)/cos^2(x))cos^2(x) + (cos^2(x)/sin^2(x))sin^2(x)


sin^2(x) + cos^2(x)


1



So this shows us that tan^2(x)cos^2(x)+cot^2(x)sin^2(x) simplifies to 1.