Y=sin2x+cos4x

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The function Y = sin(2x) + cos(4x) is a combination of sine and cosine functions. It consists of a sine function with a frequency of 2 and a cosine function with a frequency of 4.

The sine function sin(2x) oscillates with double the frequency of a standard sine function. It reaches its maximum value at x = π/2, its minimum value at x = 3π/2, and crosses the x-axis at x = 0 and x = π.

The cosine function cos(4x) oscillates with a quadruple frequency compared to a standard cosine function. It reaches its maximum value at x = 0, its minimum value at x = π, and crosses the x-axis at x = π/2 and x = 3π/2.

When you add these two functions together, the resulting function Y = sin(2x) + cos(4x) will exhibit a combination of oscillations from both the sine and cosine functions, creating a new, more complex waveform.