Confused about answer wolfram alpha spat out to me.

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Homework Help Overview

The discussion revolves around interpreting a solution provided by Wolfram Alpha for an equation involving the variable theta. The original poster expresses confusion regarding the meaning of the solution, which includes a term for integer n, and seeks clarification on whether theta should be converted to degrees.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the interpretation of the solution in radians and the implications of the integer n in the context of multiple solutions. Questions arise about the conversion of theta to degrees and the significance of different values of n.

Discussion Status

Some participants provide guidance on the interpretation of the solution, noting that Wolfram Alpha's output is in radians and confirming the correctness of the conversion method. The discussion includes an exploration of the implications of n being any integer, indicating the presence of multiple solutions without reaching a consensus on specific values.

Contextual Notes

Participants discuss the nature of the equation being solved and the assumptions regarding the variable theta, including the consideration of both positive and negative multiples of 2π.

Clever_name
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Homework Statement



Ok well I had a real nasty equation in which i could not solve.
I used wolfram alpha to get out this answer "theta ≈ 0.74559 + 6.28319n for integer n".

can someone please tell me what this statement means.

do i assume theta in degrees equals 0.74559(180/pi)?

Thanks for the help!

Homework Equations





The Attempt at a Solution

 
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Clever_name said:

Homework Statement



Ok well I had a real nasty equation in which i could not solve.
I used wolfram alpha to get out this answer "theta ≈ 0.74559 + 6.28319n for integer n".

can someone please tell me what this statement means.

do i assume theta in degrees equals 0.74559(180/pi)?
That would be one value, with n = 0. The other values are .74559 + 2##\pi##, .74559 + 4##\pi##, .74559 + 6##\pi##, and so on. It would also include negative multiples of 2##\pi##, as in .74559 - 2##\pi##, .74559 - 4##\pi##, .74559 - 6##\pi##, and so on.
 
As to your last question: WolframAlpha gave you answers in radians. Your method of conversion to degrees looks right.
 
So if i was solving an equation say something like x'(theta) =0 would n be zero when solving for theta?
 
Clever_name said:
So if i was solving an equation say something like x'(theta) =0 would n be zero when solving for theta?
n is any integer. You can't say what it "is." It means that the equation has multiple solutions.
 
Ok thanks for clearing that up guys.
 

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