Which isomer of 1-ethyl-3-methylcyclohexane is more stable, cis or trans?

My teacher hasn't covered this material as of yet, but we have a test done tomorrow on it.
What is a cis and trans? Not sure how to begin figuring this out. My text book isn't helpful.

Thanks

https://en.wikipedia.org/wiki/Cis%E2%80%93trans_isomerism

To determine the stability of isomers, we need to consider the spatial arrangement of atoms in the molecule. In the case of 1-ethyl-3-methylcyclohexane, cis and trans isomers refer to the orientation of the two substituents (ethyl and methyl groups) attached to the cyclohexane ring.

In general, cis isomers have substituents located on the same side of the ring, while trans isomers have substituents located on opposite sides of the ring.

Now, let's consider the stability of cis and trans isomers. In cyclohexane rings, axial and equatorial positions are one way to indicate stability. Generally, substituents prefer to occupy equatorial positions rather than axial positions due to steric hindrance.

To determine which isomer is more stable, we need to examine the possible positions of the substituents on the cyclohexane ring in both cis and trans forms. By visualizing and comparing their structures, we can identify the more stable option.

If your textbook isn't clear enough, you can refer to reliable online resources, such as organic chemistry websites or educational videos, that explain and show examples of cis and trans isomers of cyclohexane derivatives.

In this case, you can start by drawing the structures of both the cis and trans isomers of 1-ethyl-3-methylcyclohexane. Pay attention to the position of the ethyl and methyl groups relative to each other on the cyclohexane ring. Then, determine whether the substituents occupy the axial or equatorial positions in each isomer.

By comparing the steric interactions between the substituents, you can identify which isomer experiences less steric hindrance and is therefore more stable.

Remember to consult with your teacher or classmates if you still have questions or need additional guidance. Good luck with your test!