Pre Calculus -Cosine function
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Transcript of Pre Calculus -Cosine function
Lima, Peru Katherine Rodriguez
&Yensi Ayala
Calculationss
• 75-63/2=6…….Amplitude• 75+63/2=69…..Vertical Shift • ∏/6(2)=∏/3……Phase shift• Y=6cos(∏/6x- ∏/3)+69
• Y=6cos(∏/6(8.96)- ∏/3)+69
Table
Graph
• y= 6cos(∏/6x-∏/3)+69
How we got our function • To find the Amplitude we subtracted the
highest temperature and the lowest temperature from the average year. We took the difference and divided by 2. (75-63=12….12/2=6) y= 6cos(∏/6x-∏/3)+69
• To find the phase shift we had to use the equation 2pi/µ. µ is always before the X in the equation. Our equation would look like this 2 ∏/ ∏/6= ∏/3….. y= 6cos(∏/6x-∏/3)+69.
• Finally to calculate our Vertical shift we added 75+63=138 (again these are the highest average temp and the lowest average temp) and we divided by 2 …. 138/2=69 ….. y= 6cos(∏/6x-∏/3)+69
y= 6cos(∏/6x-∏/3)+69
Weather on August 30
Weather calculation
• August is the 8th month and our holiday is on the 30th of August. The month has 31 days. We do 8 plus 30th day divided by 31 days. 8+(30/31)= 278/31.
• Converted to decimal it’s 8.96• Substitute for X• Y=6cos(∏/6(8.96)- ∏/3)+69= 63.74
La Niña and El Niño Effects
• Commercial fishing tend to have higher catches during La Niña than El Niño. • Pollution increases in August
• Lima is located below the equator and has a beautiful coastline.
• The capital of Peru.• 5th most populous city In Latin
America• 8 million people
Lima, Peru Description
Santa Rosa De Lima Facts
• Celebrated on August 30 (spring)
• Death anniversary• Throw valuable goods into
a well• Visit the well that the
saint herself built• Raise money for the
Catholic Church
• A daughter born of wealthy parents. • Spiritual Life. Didn’t want to marry. Opposed her
parents wishes.• First person to be declared a saint in the Western
hemisphere by the Roman Catholic Church • 1586-1671• She went to a sternly life living with crowns of thorns,
practiced fasting, slept on a bed with broken glass, and saw visions of the devil.
• After she dies, many miracles happened
Who is Saint Rose?