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This lecture covers examples related to trigonometric, logarithmic, and exponential functions, focusing on determining exact values and solving equations involving trigonometric functions. The examples progress from identifying given trigonometric values to solving complex equations. The solutions involve applying trigonometric identities and manipulating trigonometric expressions. The lecture concludes with a summary of trigonometric formulas. Special thanks are given to the collaborators supporting the project. The content is presented in a step-by-step manner, guiding students through the application of trigonometric concepts.