How to verify a trigonometric identity by multiplying by the LCD

The video tutorial guides students through solving a mathematical problem by choosing the best approach, finding a common denominator, and simplifying expressions using trigonometric identities. The teacher emphasizes trying different methods and factoring to reach a solution, encouraging students to explore various strategies.

What operations are combined on the left side as mentioned in the text?

How does the speaker suggest to handle the fractions in the problem?

What is the least common denominator mentioned in the text?

What approach does the speaker take when unsure about the solution?

What is the relationship between sine and cosine as discussed in the text?