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sqdancefan

Answer:

  y = cos(3x +π/6)

  y = sin(3x -4π/3)

Step-by-step explanation:

The period of the function is 2π/3, so the multiplier of x is (2π)/(2π/3) = 3.

Each horizontal division is equivalent to an angle of (1/3)(π/6) = π/18 radians. The cosine function is shifted 1 division to the left. The corresponding sine function is shifted 8 divisions to the right.

Shift of a function by k units to the right is accomplished by replacing x with (x-k).

The function could be written as either of ...

  y = cos(3(x +π/18)) = cos(3x +π/6)

 y = sin(3(x -8π/18)) = sin(3x -4π/3)

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