Illustrate local linearity for (x) = x 2 by zooming in on the graph at x = 0.5 (see Example 6). Hypotenuse 5 FIGURE 16

Illustrate local linearity for ƒ(x) = x² by zooming in on the graph at x = 0.5 (see Example 6).

Hypotenuse 5 FIGURE 16 FIGURE 17 a Adjacent 2 (o Opposite 21 EXAMPLE 6 For between 0 and 27, the equation cos 0 = has a solution in (0,7) and a solution in (3, 27). Calculate tan in each case. Solution First, using the identity cos 0+ sin 0 = 1, we obtain 4 sine = 1 cos 0 = /1- == 25 21 5 If 0