ctg^2(b+pi/2)+cos^2(b-pi/2) / ctg^2(b-pi/2)-cos^2(b+pi/2)
= (1/tan(b+pi/2))^2 + cos^2(b-pi/2) / (1/tan(b-pi/2))^2 - cos^2(b+pi/2)= (-tan(b)^2 + 1)^2 + cos^2(b-pi/2) / (-tan(b)^2 + 1)^2 - cos^2(b)= (tan^4(b) - 2tan^2(b) + 1) + cos^2(b-pi/2) / (tan^4(b) - 2tan^2(b) + 1) - cos^2(b)= tan^4(b) - 2tan^2(b) + 1 + cos^2(b-pi/2) / tan^4(b) - 2tan^2(b) + 1 - cos^2(b)
It is not possible to simplify this expression further without knowing specific values for b.
ctg^2(b+pi/2)+cos^2(b-pi/2) / ctg^2(b-pi/2)-cos^2(b+pi/2)
= (1/tan(b+pi/2))^2 + cos^2(b-pi/2) / (1/tan(b-pi/2))^2 - cos^2(b+pi/2)
= (-tan(b)^2 + 1)^2 + cos^2(b-pi/2) / (-tan(b)^2 + 1)^2 - cos^2(b)
= (tan^4(b) - 2tan^2(b) + 1) + cos^2(b-pi/2) / (tan^4(b) - 2tan^2(b) + 1) - cos^2(b)
= tan^4(b) - 2tan^2(b) + 1 + cos^2(b-pi/2) / tan^4(b) - 2tan^2(b) + 1 - cos^2(b)
It is not possible to simplify this expression further without knowing specific values for b.