Chapter 6.7 Friday, July 19, 2013 1:16 AM Chapter 6 Page 1
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Chapter 6.7Friday, July 19, 2013
1:16 AM
Chapter 6 Page 1
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Chapter 6 Page 2
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Chapter 6 Page 3
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Chapter 6 Page 4
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Chapter 6 Page 5
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Method 2: non-graphing
Solve for x.
6.5= −1.7 sin ��� �� − 80�� + 6.16.5-6.1= −1.7 sin ��� �� − 80��0.4=−1.7 sin ��� �� − 80��0.4−1.7 =
−1.7−1.7 sin�
2�365 �� − 80��0.4
−1.7 = sin�2�365 �� − 80��
sin�� 0.4−1.7 =2�365�� − 80�
−0.2375 = 2�365 �� − 80�−13.70 = �� − 80�x=66.22
2nd day: sin is negative in Q3 and Q4
-0.238 in quadrant 4
Then Q3=� + 0.238 = 3.38 ∗ ��� +80X = 276.298
Method 1: Graphing Calculator
Y2=6.5 (for 6:30 am)
Type: Y1=−1.7 sin ��� �� − 80�� + 6.1
Use intersect (2nd Calc 2: intersect)
X = 66.202 -> which means March 7th (because 31 days in January
+ 28 days in Feburary and
+ 7 in March to get approx.
66 days
+ 31 days in May + 30 days in June + 31 days in July + 31 days
in August + 30 days in September and 3 days in October to
get approx 277 days.)
X = 276.298 -> which means Oct. 3rd (because 31 days in January
+ 28 days in February and + 31 in March + 30 in April +
276-66 = 210 210 days
Chapter 6 Page 6
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Chapter 6 Page 7
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