Directions: Use the digits 1 to 9, at most one time each, to find the function’s greatest possible value.

### Hint

### Hint

What values of pi are more likely to result in a larger value?

How can equivalent fractions allow us to avoid using a number more than once?

How can equivalent fractions allow us to avoid using a number more than once?

### Answer

### Answer

The answer that students may initially find is sin(5*pi/6) = 1/2. That is not the greatest possible value though. If you use an equivalent value for a value of pi, more possibilities are available.

For example, sin(4*pi/6) = (√3)/2, which is larger than 1/2.

Source: Robert Kaplinsky