Confused about answer wolfram alpha spat out to me.

[Clever_name]

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

 

[Mark44]

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.

 

[SammyS]

As to your last question: WolframAlpha gave you answers in radians. Your method of conversion to degrees looks right.

 

[Clever_name]

So if i was solving an equation say something like x'(theta) =0 would n be zero when solving for theta?

 

[1MileCrash]

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.

 

[Clever_name]

Ok thanks for clearing that up guys.