Question

sin 2x - sin 4x + sin 3x is equal to zero​

Answer 1

Answer:

Step-by-step explanation:

sin x + sin 2x + sin 3x + sin 4x = 0

( sin 3x + sin x) + ( sin 2x + sin 4x ) = 0

2 sin 2x cos x + 2 Sin3x cosx= 0

2 [ sin 2x cos x + sin 3 x cos x ] =0

2 cos x [ sin 2x + sin 3x ] =0

2 cos x [ sin 5x/2 × cos x/2 ] = 0

●[1] cos x = 0

x = (2n + 1)

● [2] sin5x/2 = 0

●[3] cos x/2=0

Answer 2

x = 0

Step-by-step explanation:

sin 2x - sin 4x + sin 3x = 0

sin x = 0

but we know that,

sin 0° = 0

so,

x = 0