Z00079. Verify each of the following trigonometric identity. (1) csc x / cot x = tan x / sin x (2) 1 / tan x cot^2(x) = cot x tan^2(x) (3) cos2(x) / tan x = cot x / sec^2(x)

Z00079. Verify each identity.

$(1) \; \frac{csc\, x}{cot\, x}=\frac{tan\, x}{sin\, x}\; \; (2) \; \frac{1}{tan\, x\, cot^2\, x}=cot\, x\, tan^2\, x$