Which of the following accurately describes cot(336°)
Options are
cot(-336°)
cot(24°)
cot(-24°)
-cot(-24°)
Answer : cot(-24°)
In a circle the total angle is 360 degrees. 336 degree lies in fourth quadrant.
360 degree - 336 degree = 24 degree
+24° lies on first quadrant and -24° lies on fourth quadrant.
So cot(336) is same as cot(-24)
Basically, you try to find 2 numbers that divide to 3/2. So, using trial and error, plug in numbers for x in this expression: x/24=3/2, and solve to find the number that makes it true. You end up getting 36/24=3/2. Hope that helps! :)
<span>2(1+4n)+10(n-7)=2n-n
distribute
2+8n+10n-70=2n-n
combine like terms
18n-68=n
move n to other side
17n=68
divide
n=4</span>