1+cot^2(theta)=csc^2(theta)

1+cos^2x/sin^2x= csc^2x

put on same denominator

sin^2x+cos^2x/ sin^2x= csc^2x

sin^2x+cos^2x=1

so

1/sin^2x=csc^2x

csc^2x=csc^2x

1+cot^2(theta)=csc^2(theta)

1+cos^2x/sin^2x= csc^2x

put on same denominator

sin^2x+cos^2x/ sin^2x= csc^2x

sin^2x+cos^2x=1

so

1/sin^2x=csc^2x

csc^2x=csc^2x