Question

prove cosec 2x + cot 2x = cot x​

Answer 1

csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))

csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))

csc(2x) + cot(2x) = cos(x) / sin(x)

csc(2x) + cot(2x) = cot(x)