In Example 2, change 5/13 to 12/13 and then find the value of cos( + ). Data
Question:
In Example 2, change 5/13 to 12/13 and then find the value of cos(α + β).
Data from Example 2
Given that sinα = 5/13 (α in the first quadrant) and sin β = − 3/5 (for β in the third quadrant), find cos(α + β).
Because sin α = 5/13 for α in the first quadrant, from Fig. 20.7, we have cos α = 12/3 Also, because sin β = − 3/5 for β in the third quadrant, from Fig. 20.7, we also have cos β = −4/5
Then, by using Eq. (20.10), we have
Transcribed Image Text:
cos(a + 3) = cosacos B - sinasin 3 4 5 3 = (-1) - 음(-) 12 13 5 13 || 48+15=-33 65 65 65
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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