Determine the Equation of the Conic $x y = x ^ { 2 } - y ^ { 2 }$

question 83

Essay

Determine the equation of the conic $x y = x ^ { 2 } - y ^ { 2 }$ in $X Y$ - coordinates if the axes are rotated through an angle $\phi = 60 ^ { \circ }$ .

---

Definitions:

Macro Pole

Refers to a large-scale, broad perspective focusing on social structures and processes that shape society as a whole.

Social Structure

The organized pattern of social relationships and social institutions that together compose a society.

Metatheoretical Work

Scholarly work that analyzes the foundational structures of theories themselves, examining their assumptions, values, and theoretical frameworks.

Sociological Theories

Sociological theories are frameworks developed to understand and analyze the structure, dynamics, and functions of society and social behavior.