((sin^3 a*cos^2 a+sin^3 a)/cos^3 a)*ctg a+1=(sin^3 a(cos^2 a+1)/cos^2 a)*cos a/sin a+1=tg^2 a(cos^2 a+1) +1=sin^2 a+tg^2 a+1
tg^2 x+1=sin x/cos^2 x
воспользуемся тригонометрической формулой
tg^2 x+1=1/cos^2 x
sin x =1 => x=90 градусов
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((sin^3 a*cos^2 a+sin^3 a)/cos^3 a)*ctg a+1=(sin^3 a(cos^2 a+1)/cos^2 a)*cos a/sin a+1=tg^2 a(cos^2 a+1) +1=sin^2 a+tg^2 a+1
tg^2 x+1=sin x/cos^2 x
воспользуемся тригонометрической формулой
tg^2 x+1=1/cos^2 x
sin x =1 => x=90 градусов