# 'Nother calculator problem

Discussion in 'Math' started by Mark44, Apr 28, 2008.

1. ### Mark44 Thread Starter Well-Known Member

Nov 26, 2007
626
1
Here's another one that's a little harder.

Given an ordinary scientific calculator (defined as one where you enter the number, and then press a function button) that displays a positive number hereinafter known as x:

Calculate the quantity $\frac{x}{\sqrt{x^{2} + 1}}$.

Just to make it interesting/challenging, you can't use the digit buttons (0, 1, 2, ..., 9), the arithmetic buttons (+, -, *, /), the square root button, or the square button.

2. ### Caveman Senior Member

Apr 15, 2008
471
1
1. Take arctan of x
2. Take sine of result of step 1

3. ### Mark44 Thread Starter Well-Known Member

Nov 26, 2007
626
1
I'm impressed!

4. ### Caveman Senior Member

Apr 15, 2008
471
1
Got any more? I'm bored at work at the moment.

5. ### Mark44 Thread Starter Well-Known Member

Nov 26, 2007
626
1
I have a couple more non-calculator problems at the moment. I'll put them in another thread.