Answer:
<em>T (t) = A x cos (2π/40000 x (t - 2000) +π/2)</em>
Explanation:
<em>From the question given, we recall the following,</em>
<em>The co-sinusoidal equation formation is denoted as:</em>
<em>T (t) = A x cos (2π/p (t - t₀))</em>
<em>At one place on earth the highest temperature = 800 </em>
<em>At one place on earth The lowest temperature = 600</em>
<em>A: represents the wave amplitude, if the max and min are both = 800 and 600 respectively.</em>
<em>Thus,</em>
<em>2 x A = maximum -minimum = 200,</em>
<em>A = 100</em>
<em>P: Represents the wave period</em>
<em>Now suppose it takes 20,000 years to go from the high to the low average </em>
<em>Then,</em>
<em> P/2=20000, P=40000</em>
<em>t₀: Represents the time at the time of a maximum. t₀=2000</em>
<em>The Relationship between cos and sin is:</em>
<em>cos (α)= sin ( α + π/2)</em>
<em>In the cosinus equation, all the values are replaced.</em>
<em>Therefore,</em>
<em>We have, T (t) = A x cos (2π/40000 x (t - 2000) +π/2)</em>