You can use the trigonometric identity
![1+\cot^2{x}=\csc^2{x}](https://tex.z-dn.net/?f=1%2B%5Ccot%5E2%7Bx%7D%3D%5Ccsc%5E2%7Bx%7D)
.
![1+\cot^2{\theta}=(\frac{-\sqrt{37}}{6} )^2 \\ 1+\cot^2{\theta}=\frac{37}{36} \\ \cot^2{\theta}=\frac{1}{36} \\ \cot{\theta}=\frac{1}{6}](https://tex.z-dn.net/?f=1%2B%5Ccot%5E2%7B%5Ctheta%7D%3D%28%5Cfrac%7B-%5Csqrt%7B37%7D%7D%7B6%7D%20%29%5E2%20%5C%5C%201%2B%5Ccot%5E2%7B%5Ctheta%7D%3D%5Cfrac%7B37%7D%7B36%7D%20%5C%5C%20%5Ccot%5E2%7B%5Ctheta%7D%3D%5Cfrac%7B1%7D%7B36%7D%20%5C%5C%0A%5Ccot%7B%5Ctheta%7D%3D%5Cfrac%7B1%7D%7B6%7D)
The requirement that
![\tan{\theta}\ \textgreater \ 0](https://tex.z-dn.net/?f=%5Ctan%7B%5Ctheta%7D%5C%20%5Ctextgreater%20%5C%200)
eliminates -1/6 from being another solution.
Answer:
4.485
Step-by-step explanation:
[divide 17 by 4]
[ ]
Now, Midpoint of 4.25 and 4.472 =
Number between 4.25 and 4.472 =4.485
Or number between and is 4.485.
Step-by-step explanation:
x = 145°
we don't even need the upper parallel line with the 35° angle.
it is simply based on the fact that the angles on both sides of 2 intersecting lines have to be the same (just left-right mirrored).
The answer is < :) hope this helped
Answer:11
Step-by-step explanation: