
now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that
![\bf sin\left(x-\frac{2\pi }{3} \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3} \right) \right]=sin^{-1}(0) \\\\\\ x-\frac{2\pi }{3}= \begin{cases} 0\\ \pi \end{cases}\implies \measuredangle x= \begin{cases} \frac{2\pi }{3}\\ \frac{5\pi }{3} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20sin%5Cleft%28x-%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%20%5Cright%29%3D0%5Cimplies%20sin%5E%7B-1%7D%5Cleft%5B%20sin%5Cleft%28x-%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%20%5Cright%29%20%5Cright%5D%3Dsin%5E%7B-1%7D%280%29%0A%5C%5C%5C%5C%5C%5C%0Ax-%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%3D%0A%5Cbegin%7Bcases%7D%0A0%5C%5C%0A%5Cpi%20%0A%5Cend%7Bcases%7D%5Cimplies%20%5Cmeasuredangle%20x%3D%0A%5Cbegin%7Bcases%7D%0A%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%5C%5C%0A%5Cfrac%7B5%5Cpi%20%7D%7B3%7D%0A%5Cend%7Bcases%7D)
now, at those angles, the function is asymptotic, check the picture below
<h3>Option A</h3><h3>The monthly lease payment for a 36-month lease on a car is $ 358.64</h3>
<em><u>Solution:</u></em>
Given that,
MSRP of car = $29,000
Percentage of residual = 79% = 
<em><u>Find residual value</u></em>

<em><u>Find the depreciation amount</u></em>
Depreciation amount = cost - residual value
Depreciation amount = 29000 - 22910 = 6090
<em><u>Find Base monthly lease payment</u></em>


<em><u>Find Interest per month</u></em>


<em><u>Find monthly lease payment</u></em>
Monthly lease payment = Base monthly lease payment + Interest per month
Monthly lease payment = 169.1667 + 189.4715 = 358.6382 
Thus monthly lease payment is $ 358.64
Option A is correct
Anything less than 100% of that number will be Less than the original example
99% of 100 = 99 less than original
120% of 100= 120 greater than original