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Something is bugging me. I hope you can help.

I read in texts that if f(t) = sin(t) then the period of the function is the time taken (secs) to complete one cycle.

I also read in texts that if f(t) = sin(2t) then the period of the halved.

No problems here. I see that (2*t) = (omega*t). Happy days.

I also read in texts that if f(x) = sin(x) then the period of the function is 2pi radians.

and that if f(x) = sin(2x) then the period of the function is pi radians.

How can this happen? How can we measure a period in radians? How can a full cycle be anything other than 2pi radians anyway?

I am going round in circles....

Thanks for reading.

Nick

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# I Period of a sine wave

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