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This lecture focuses on solving exercise 6 from the trigonometry warmup series, where the goal is to find the value of sin(x + y) given sin(x) = 1/3 and cos(y) = 4/5. The instructor emphasizes the importance of trigonometric formulas and demonstrates how to use them to calculate sin(x) and cos(y) values within the specified range of 0 to 2π.