Question

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

Answer 1

may be dear it will be helpful for u...

(1+cos^2thetha/sin^2thetha)sin^2thetha
{(sin^2thetha+cos^2thetha)/sin^2thetha}/sine^2thetha
=1

Answer 2

$(1 + \cot ^{2} x ) \sin ^{2} (x) = 1 \\ ( \sin ^{2} (x) + \frac{ \cos ^{2} (x) }{ \sin ^{2} (x) } \times \sin^{2} x = 1 \\ \sin^{2}x + cos {}^{2} x = 1$
solution as per your requirement