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𝙲𝚘𝚖𝚙𝚘𝚞𝚗𝚍 𝙰𝚗𝚐𝚕𝚎 𝚃𝚛𝚊𝚗𝚜𝚏𝚘𝚛𝚖𝚊𝚝𝚒𝚘𝚗𝚜
𝚒𝚗 𝚃𝚛𝚒𝚐𝚘𝚗𝚘𝚖𝚎𝚝𝚛𝚢

​1. Product-to-Sum Transformations
​These are used when you have two different trigonometric functions multiplied together and you want to separate them into a sum or 𝚍𝚒𝚏𝚏𝚎𝚛𝚎𝚗𝚌𝚎

𝚜𝚒𝚗𝙰 𝚌𝚘𝚜 𝙱 = 1/2 𝚜𝚒𝚗 (𝙰 + 𝙱) + 𝚜𝚒𝚗 (𝙰 - 𝙱)
𝚌𝚘𝚜 𝙰 𝚜𝚒𝚗 𝙱 = 1/2 𝚜𝚒𝚗 ( 𝙰 + 𝙱) - 𝚜𝚒𝚗 (𝙰 - 𝙱)
𝚌𝚘𝚜 𝙰 𝚌𝚘𝚜 𝙱 = 1/2 𝚌𝚘𝚜 (𝙰 + 𝙱) + 𝚌𝚘𝚜 (𝙰 - 𝙱)
𝚜𝚒𝚗 𝙰 𝚜𝚒𝚗 𝙱 = 1/2 𝚌𝚘𝚜 ( 𝙰 - 𝙱) - 𝚌𝚘𝚜 (𝙰 + 𝙱)

𝙻𝚎𝚝'𝚜 𝙻𝚎𝚊𝚛𝚗 𝚃𝚛𝚒𝚐. 𝚊𝚗𝚍 𝚝𝚑𝚎 𝚝𝚛𝚒𝚌𝚔𝚜 𝚘𝚏 𝙳𝚘𝚞𝚋𝚕𝚎 𝙰𝚗𝚐𝚕𝚎𝚜.𝚂𝚘𝚕𝚟𝚎 𝚝𝚑𝚎 𝚚𝚞𝚎𝚜𝚝𝚒𝚘𝚗 𝚝𝚑𝚊𝚝 𝚏𝚘𝚕𝚕𝚘𝚠𝚜.

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