MODERATE EXERCISES


(1) Graph the following functions by plotting specific points.

 (a) y = 0.4cos x

 (b) y = tan (x/4)

 (c) y = sin (x)


SOLUTION:

(a) y = 0.4cos x

x y
- -0.4
-2 -0.16646
-/2 0
-1 0.21612
0 0.4
1 0.21612
/2 0
2 -0.16646
-0.4


(b) y = tan (x/4)

x y
-6 -14.101
-3/2 -2.4142
-4 -1.5574
- -1
-/2 -0.41421
0 0
/2 0.41421
1
4 1.5574
3/2 2.4142
6 14.101



(c) y = sin(x)

x y
-2 0
-7/4 /2
-3/2 1
-1 0
-1/6 -1/2
0 0
1/6 1/2
1 0
3/2 -1
7/4 -/2
2 0


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