Question

(1-cos^2 A) cosec^2 A=1​

Answer 1

$(1 - cos^{2}A) cosec^{2} A = 1\\\\L.H.S\\\\(1 - cos^{2}A) cosec^{2}A\\\\remember\\\\sin^{2}A + cos^{2}A = 1\\\\sin^{2}A = 1 - cos^{2}A \\\\replace\\\\(1 - cos^{2}A) cosec^{2}A\\\\ sin^{2}A . cosec^{2}A\\ \\sin^{2}A * 1/sin^{2}A\\\\= 1$

HERE IS YOUR ANSWER........

Answer 2

if in exams the weightage of marks is more for this type of question u can refer this answer as well dear