Refer to Exercise 45 in Section 1.2, and set up a graphing utility in the same manner.
MODE radian and parametric (param)
WINDOW Tmin= 0 Tmax = 2π
Tstep =
Xmin = -3 Xmax = 3
Ymin = -2 Ymax - 2
Inputs = x1 cos (t),y1 = sin (t), and graph these parametric equations, which will again graph the unit circle. Trace around the circle and watch just the cosine values.
As the length of the arc increases from 0 to 1.57, what is happening to the cosine values? Continue to trace all around the circle. Complete the table that follows by filling in the appropriate description of the functional values—increasing (getting larger) or decreasing (getting smaller)—in the indicated intervals.
Repeat the preceding instructions, only this time pay attention to what is happening to the sine values. Complete the following table for the sine values on the indicated intervals.
x | 0 to π/2 | π/2 to π | π to 3 π/2 | 3 π/2 to 2 π |
Cos x |
x | 0 to π/2 | π/2 to π | π to 3 π/2 | 3-π/2 to 2 π |
Sin x |
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