Make up a table with columns headed by values of θ running from - п/2 to 2 п in intervals of п /4. In each column place the corresponding value of sin θ, beneath those the values of cos θ, beneath those the values of sin (θ - п /4), and similarly with the functions sin (θ - п/2), sin (θ - 3 п/4), and sin (θ + п/2). Plot each of these functions, noting the effect of the phase shift. Docs sin θ lead or lag sin (θ - п/2). In other words, does one of the functions reach a particular magnitude at a smaller value of θ than the other and therefore lead the other (as cos θ leads sin θ)?
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