We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
80 is the total number of students
Total cost: $10/student x 80 = $800
$960 x 2 = $1,920
In order to get the total cost per student, we need to get the sum of the cost of the food and bus rental. So 800 + 1,920 would be $2,720.
Now, divide the sum by 80 (number of students) and the result is 34. So the total cost per student is $34.
Lets pretend the humidity is 100, we would do
100 - 100 * .0225
and do it 7 more times with the new numbers.
The final answer would be 83.35 humidity. The total change is then 16.65%
They are about 141.42 feet away from the welcome center