Simplify the trig expression by Multiplying by the reciprocal function

The video tutorial explores the algebraic technique of multiplying by the conjugate, highlighting its usefulness and limitations. The instructor demonstrates why this method is not suitable for the given problem and suggests an alternative approach using the reciprocal. The video emphasizes the importance of trial and error in problem-solving, encouraging students to explore different methods and learn from mistakes.

What alternative method does the teacher suggest for getting rid of the denominator?

How does the teacher demonstrate the use of the distributive property in the problem?