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Wave Functions

The phenomenon of beats occurs when two waves of comparable frequency combine. Imagine that two waves of frequencies 285.20Hz and 281.80 Hz combine. Express the sum
sine 285.20 t plus sine 281.80 tsin285.20t+sin281.80t
as the product of two trigonometric functions and find the longer time-scale over which the signal varies. Give this time period to 2 decimal places.

Can anyone help me with how to get the time period for the second part of this question? Thanks

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