This worksheet challenges students to graph trigonometric functions by first identifying the amplitude and period of each equation.

I can see the second column contains three more trigonometric functions:
4. y = tan 2θ
5. y = 3sec θ/6
6. y = 1/2 csc θ

Now I need to recall the general formulas for amplitude and period of trigonometric functions to solve this problem.

For a function in the form y = A·sin(Bθ) or y = A·cos(Bθ):
- Amplitude = |A|
- Period = 360°/|B| (since we're working in degrees as specified)

For y = A·tan(Bθ):
- Amplitude is not defined (tangent has no maximum or minimum value)
- Period = 180°/|B|

For y = A·sec(Bθ) or y = A·csc(Bθ):
- Amplitude is not defined (secant and cosecant have no maximum or minimum value)
- Period = 360°/|B|

Let me now calculate the amplitude and period for each function one by one.

Function 1: y = sin 3θ
- This is in the form y = A·sin(Bθ) where A = 1 and B = 3
- Amplitude = |1| = 1
- Period = 360°/|3| = 120°

Function 2: y = 2cos θ/3
- This is in the form y = A·cos(Bθ) where A = 2 and B = 1/3
- Amplitude = |2| = 2
- Period = 360°/|1/3| = 360° × 3 = 1080°

Function 3: y = 3tan θ/2
- This is in the form y = A·tan(Bθ) where A = 3 and B = 1/2
- Amplitude: Not defined (for tangent functions)
- Period = 180°/|1/2| = 180° × 2 = 360°

Function 4: y = tan 2θ
- This is in the form y = A·tan(Bθ) where A = 1 and B = 2
- Amplitude: Not defined (for tangent functions)
- Period = 180°/|2| = 90°

Function 5: y = 3sec θ/6
- This is in the form y = A·sec(Bθ) where A = 3 and B = 1/6
- Amplitude: Not defined (for secant functions)
- Period = 360°/|1/6| = 360° × 6 = 2160°

Function 6: y = 1/2 csc θ
- This is in the form y = A·csc(Bθ) where A = 1/2 and B = 1
- Amplitude: Not defined (for cosecant functions)
- Period = 360°/|1| = 360°

Now I'll summarize the solutions for all six functions.

The solution to the worksheet problem is:

1. y = sin 3θ
- Amplitude: 1
- Period: 120°

2. y = 2cos θ/3
- Amplitude: 2
- Period: 1080°

3. y = 3tan θ/2
- Amplitude: Not defined
- Period: 360°

4. y = tan 2θ
- Amplitude: Not defined
- Period: 90°

5. y = 3sec θ/6
- Amplitude: Not defined
- Period: 2160°

6. y = 1/2 csc θ
- Amplitude: Not defined
- Period: 360°

To graph these functions, you would:
- For sine and cosine: Draw a wave that oscillates between +amplitude and -amplitude, completing one full cycle over the period.
- For tangent: Draw the characteristic S-shaped curves with vertical asymptotes at intervals of half the period.
- For secant and cosecant: Draw the curves that approach vertical asymptotes, with the "humps" reaching up to the amplitude value (though technically amplitude isn't defined, the distance from the midline to the peak is still |A|).

Note: The graphs would need to be drawn on the provided coordinate grids, with appropriate scaling based on the calculated periods and amplitudes.