Nilai dari lim┬(x→0)⁡〖(1-cos 2x)/(2 sin⁡x )=⋯…〗​

identitas trigonometri

sin²x + cos²x = 1

sin²x = 1 – cos²x

cos2x = cos²x – sin²x

cos2x = (1 – sin²x) – sin²x

cos2x = 1 – 2 sin²x

cos2x – 1 = -2sin²x

2sin²x = 1 – cos2x

lim (1-cos 2x)/(2 sin⁡x)

x→0.

lim. 2sin²x / 2sinx

x→0.

lim. sin²x / sinx

x→0.

lim. sin x

x→0.

= sin 0

= 0