How to solve a equation when there is no solution

The video tutorial discusses solving a mathematical problem involving trigonometric functions. The instructor explains the initial approach, which involves combining terms to find a common denominator. The process of solving the equation is detailed, highlighting the use of algebraic methods and the zero product property. The tutorial also addresses the issue of imaginary solutions when taking the square root of a negative number, concluding that no real solution exists. The instructor summarizes the difficulties encountered during the problem-solving process.

What conclusion does the teacher reach regarding the solutions for the problem?

Describe the difficulties faced when trying to combine the expressions in the problem.