How to make 1 with any 3 of the same numbers?

Question

Is it possible to make 1 with any 3 numbers, all the same such as using 3, 3 and 3 or 6, 6 and 6, anything? Can you think of a it which will work no matter which number it is? Trig functions are also allowed.

 

 

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Cathy R., Freelance Writer

 

Answer 1

To make it work with any number x using trig, how about this?

 

cos( x (x−x) )

 

 

Can you find others?

List every trig function, and think of what value when given to the function will result an answer of 1.

Answer 2

Although it may seem lengthy, list the operations and functions that you may use (rather than simply thinking of them).  Then, see what you get with using two instances of a number in one operation.  That result is used in a second operation.

 

So,

  6 - 6 = 0

 and

  6^(6-6) = 6⁰ = 1

 

which is also true for numbers other than 6. Now, I wonder what this value is: (6/6)⁶