To simplify the expression, we can use trigonometric identities to expand and combine terms:
Cos(2π - 3x)cosx + sin(3x)cos(3π/2 + x)
Since cos(2π - θ) = cos(θ) and sin(3x)cos(3π/2 + x) = -cos(3x)sin(x), the expression becomes:
cos(3x)cos(x) + sin(3x)(-cos(x))
Expanding further, we get:
cos^2(3x) - cos(3x)sin(3x)
Thus, the simplified expression is:
To simplify the expression, we can use trigonometric identities to expand and combine terms:
Cos(2π - 3x)cosx + sin(3x)cos(3π/2 + x)
Since cos(2π - θ) = cos(θ) and sin(3x)cos(3π/2 + x) = -cos(3x)sin(x), the expression becomes:
cos(3x)cos(x) + sin(3x)(-cos(x))
Expanding further, we get:
cos^2(3x) - cos(3x)sin(3x)
Thus, the simplified expression is:
cos^2(3x) - cos(3x)sin(3x)