**x = cos(x)**by using a scientific calculator. Now, let's continue playing with a scientific calculator.

- Bring your scientific calculator (you can use your iphone or a web calculator).
- Change the mode to "rad" (radian).
- Push "
**1**" (one) key. - Push "
**sin**" key. - Push "
**1/x**" key. - Go back to step 4, unless you want out.

You will see two numbers:

**0.8975395...**(after step 4.)**1.1141571...**(after step 5.)

The second number is a solution of the equation

Then, change "

No.

I simulated the procedure by using SCILAB, and obtained a sequence shown below.

This looks like a chaotic sequence.

**x = 1/sin(x)**(this equation has infinite number of solutions), and the first number is its inverse.Then, change "

**sin**" to "**cos**" in step 4. Does it converge?No.

I simulated the procedure by using SCILAB, and obtained a sequence shown below.

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