Question

Sin2x=1/4, tentukan (sinx-cosx)!

Answer 1

Verified answer

Jawab

misal
y = sin x - cos x
y² = (sin x - cos x)²
y² = sin²  x - 2 sin x cos x + cos² x
y² = (sin² x + cos² x - 2 sin x cos x)
y² = (1 - sin 2x)
y² = (1 -1/4) = 3/4
y = √(3/4)
y = .1/2 √3
sin x - cos x = 1/2 √3