Mysterious Angle X: Solving What's Smaller Than 1rad

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Homework Help Overview

The discussion revolves around an angle "X" characterized by the equations sinX=X and cosX=1, with the stipulation that X is smaller than 1 radian. Participants are exploring the implications of these conditions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express their belief that the angle should be 0, as it seems to satisfy the conditions given. There is confusion regarding the value of 0.03 radians, with some questioning its validity and suggesting that it contradicts the initial equations.

Discussion Status

The discussion is active, with multiple participants sharing their perspectives on the angle's value. Some participants are questioning the correctness of the provided answer of 0.03 radians, while others reinforce the idea that the angle should be 0 based on their understanding of the trigonometric functions involved.

Contextual Notes

Participants are working under the assumption that the only relevant angle satisfying the conditions is 0, leading to a debate about the correctness of the alternative value presented.

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Homework Statement


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.

Homework Equations


None.


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?
 
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No, it should be 0. I don't know where 0.03 came from.
 
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).
 
JecaSpirro said:

Homework Statement


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.

Homework Equations


None.


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?

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

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