Make up a table with columns headed by values of running from -/2 to 2 in

Make up a table with columns headed by values of θ running from -π/2 to 2π in intervals of π/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 - π/4), and similarly with the functions sin (θ - π/2), sin (θ - 3π/4), and sin (θ + π/2). Plot each of these functions, noting the effect of the phase shift. Does sin θ lead or lag sin (θ - π/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)?