Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the function’s greatest possible value.

### 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

Crystal Spellmann found the greatest possible value of 1 by using sin 3π/6=√4/2

Source: Robert Kaplinsky

I used sin 3π/6=√4/2. The largest value for the sine function is 1.

Thanks Crystal! I’ll get this corrected.

Other solutions: sin(1π/2)=√9/3, sin(2π/4)=√9/3. New problem idea using digits 1-9 each at most once (not sure if its here already: sin ( (_)pi/(_)) + (cos (_)pi/(_)) = sqrt()/()