sin2 x+sin2 x cot2 x =1

Question

What is the answer to this problem show all work

Answer 1

sin²x + sin²xcot²x = 1        Factor out the sin²x

sin²x (1 + cot²x) = 1

sin²x (csc²x) = 1

sin²x (1/sin²x) = 1

1 = 1