When it comes to finding synonyms for the phrase "study at contrary", there are several options available that can help you express the same idea in different words. One possible way to rephrase this phrase is "learn the opposite", which suggests the act of gaining knowledge on the opposing viewpoint. Another suitable synonym is "research the alternative", which refers to exploring a different approach or solution. Additionally, one can use "analyze the counterargument" to refer to examining the opposing viewpoint in detail. All of these alternatives to "study at contrary" can help to express the same idea in various ways, depending on the context and intended meaning.