EXPLAIN IN DETAIL HOW TO DO THIS! I DO NOT KNOW HOW TO DO THESE TYPES OF PROBLEM

Question

EXPLAIN IN DETAIL HOW TO DO THIS! I DO NOT KNOW HOW TO DO THESE TYPES OF PROBLEMS IN GENERAL SO PLEASE EXPLAIN THIS IN A WAY THAT I WILL BE ABLE TO DO OTHER PROBLEMS MYSELF THAT ARE SIMILAR. LIST AND EXPLAIN ANY FORMULAS THAT CAN BE USED FOR THESE TYPES OF PROBLEMS AND HOW YOU USE THEM, AND WHICH ONE YOU ARE USING AND WHY. solve this, and any other helpful information, show how to do this in detail! read my full request. Thanks

LIST ALL FORMULAS THAT CAN BE USED SO I CAN FIGURE OUT HOW TO DO THESE

Explanation / Answer

cos 3x = -1/2

3x = cos^-1 (-1/2)

general solution of cos^-1 (-1/2) = 2pi/3 + 2n pi , 4pi/3 + 2n pi

3x = 2pi/3 + 2n pi , 4pi/3 + 2n pi

x = 2pi/9 + 2 n pi /3 , 4pi / 9 + 2 npi /3

solutions are

x = 2pi/9 + 2npi / 3 , 4pi/9 + 2npi / 3

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