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2 answers:
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First, lets note that 
. This leads us with the following problem:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have
, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have
Answer:
The answer is 72 minutes.
Step-by-step explanation:
The first step will be the registration desk, which last 2 minutes.
The second step is going to one of the three cashiers, this step takes 10 minutes.
The third step is to visit one of the four ID processing stations, to take their picture and to print the ID card. this step take 20 minutes.
Demand rate= 0.5 students per minute
This means 1 student every 2 minutes.
The total amount of time of the three-step process is 32 minutes.
During 40 minutes 20 students will start their process. These means that the student number 20 will start his/hers process at the minute number 40 of the whole process. As he/she is the last one, no one will finish their process before him/her.
The process takes 32 minutes.
We just need to add 40 minutes to the total amount of time of the three-step process takes, which is 32 minutes.
Therefore to process 20 students it will take 72 minutes.