In Example 6, change 180 + x to 180 x and then determine what other changes
Question:
In Example 6, change 180° + x to 180° − x and then determine what other changes result.
Data from Example 6
Prove that sin(180° + x) = −sin x.
Although x may or may not be an acute angle, this agrees with the results for the sine of a third-quadrant angle as discussed in Section 8.2. See Fig. 20.8. The calculator check of this identity, with y1 = sin(π + x) and y2 = −sin x is shown in Fig. 20.9. This screen was captured while y2 (in red) was being graphed right over y1 (in blue).
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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