Question

Find all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π.

Answer 1

hello :
sin 2x = sin x and 0 ≤ x ≤ 2π.
all solutions :
2x= x +2kπ or x= π -x +2kπ ..... k in : Z
x = 2kπ or : x = π/2 + kπ
but :
0 ≤ x ≤ 2π
all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π are :
k = 0 : x=0 , x= π/2
k=1 : x=2 π , x=3π/2