Make the given changes in the indicated examples of this section and then find the indicated values. In Example 7, change sin to tan and

Make the given changes in the indicated examples of this section and then find the indicated values.

In Example 7, change sinθ to tanθ and then find the value.

Data from Example 7

Find sinθ if secθ = 2.504. Since the value of sec θ is given, we know that cosθ = 1/2.504. This in turn tells us that

(extra significant digits are retained since this is an intermediate step). Therefore, sin θ = sin (66.46176°) = 0.9168 (see Fig. 4.23).

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