Question -
Answer -
Let us consider LHS:
sin 2x / (1 – cos 2x)
We know that cos 2x = 1– 2 sin2 x
Sin 2x = 2 sin x cos x
So,
sin 2x / (1 – cos 2x) =(2 sin x cos x) / (1 – (1 – 2sin2 x))
= (2 sin x cos x) / (1 –1 + 2sin2 x)]
= [2 sin x cos x / 2 sin2 x]
= cos x/sin x
= cot x
= RHS
Hence proved.