grade 12 advanced functions question

Question

prove that (sin2X)(tanX+cotX)=2

Answer 1

Expand sin 2x as 2 sin x cos x.

Rewrite (tan x + cos x) as sum of ratio of sinx to cosx + ratio of cosx to sinx...then find LCD of this; you'll get numerator sin²x + cos²x and denominator (sinx cosx).

 

Can you take it from here?