What if Sydneys climate were eqyally as variable as Osakas R

What if Sydney\'s climate were eqyally as variable as Osaka\'s? Rewrite the function for Sydney to account for this new variability, and complete the missing values in the table. Give temps to the nearest tenth of a degree. Osaka= 20..71 sin(0.01681t-1.9450) + 68.97 Sydney= y= 8.65 sin (0.0172t + 89.7420) = 69.95 Sydney rewritten ---H(t):_____________________________________________ t 15 74 135 196 258 319 H ______ ______ ______ _______ ______ ________

Solution

Sydney climate is equally variable as Osaka

So the maximum and minimum variation of temp for Sydeny shall be same as of Osaka.

So we make the the amplitude of sin function of Sydney(20.71) , same as of Osaka and vertical shifting of Sysdeny same as of Osaka( +68.97)

H(t) = 20.71 sin (.0172t + 89.7420) + 68.97

Now plugging t = 15

H(t) = 20.71 sin ( .0172*15 + 89.7420) + 68.97

H = 90 degrees

for t = 74

H(t) = 20.71 sin ( .0172*74 + 89.7420) + 68.97

H = 90 degrees

plug different values of t to get the value of H