Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
Tan^-1 = 72.81° is your answer, use basic SOHCAHTOA functions
To figure out a year, all we need to do is multiply the price ($35) by how many days in a year (365)
$35 x 365 = $12,775
For a month, all we need to do is multiply the price ($35) by how many days in a month (we’ll go with 30)
$35 x 30 = 1,050
Therefore, for a <u>year</u> it will cost <u>12,775</u> and for a <u>month</u> it will cost <u>$1,050</u>
Hope this helps
-AaronWiseIsBae
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