# Mysterious angle

1. Mar 7, 2008

### JecaSpirro

1. The problem statement, all variables and given/known data
I was given an angle "X" with sinX=X and cosX=1. The question says that it is smaller than 1rad. Other data is irrelevant.

2. Relevant equations
None.

3. The attempt at a solution
In my point of view, this angle would be 0, because the only angle I know that sinOfAngle=valueOfAngle and cos=1 and at the same time smaller than 1rad. But the answer isn't 0, it's 0,03. Would someone try to explain this?

2. Mar 7, 2008

### Math Jeans

No, it should be 0. I don't know where 0.03 came from.

3. Mar 7, 2008

### Staff: Mentor

I agree that it should be x=0. You can show the answer is wrong by plugging 0.03 radians into a calculator for sin(x) and cos(x).

4. Mar 7, 2008

### Pizza_Pi

sin 0 is equal to x, which is 0. cos 0 is also equal to 1.
sinx = x, cosx = 1
sin (0) = (0), cos(0) = 1

5. Mar 7, 2008

### JecaSpirro

Good news for me. Thank you all, people. Sorry to bother with a such small thing. And for my english. 8D

Last edited: Mar 7, 2008
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