The solution sin x = 1/3 and cos x = 1/5 is deemed impossible because it violates the fundamental trigonometric identity sinยฒx + cosยฒx = 1. If sin x = 1/3, then sinยฒx = 1/9. If cos x = 1/5, then cosยฒx = 1/25. The sum 1/9 + 1/25 is not equal to 1; therefore, these values are inconsistent and cannot be a solution.
This IIT JEE Maths video lecture focuses on solving various types of trigonometric equations. The instructor demonstrates different techniques and approaches to solve a series of example problems, emphasizing manipulation and strategic problem-solving rather than rote memorization of formulas.