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in this video were going to talk about the sum and difference formulas and how to use them in a particular problem so lets start with the sine function sine a plus b is equal to sine a cosine b plus cosine a sine b and theres another one sine a minus b is equal to sine a cosine b minus cosine a sine b so make sure you know these two formulas but lets use the first one so lets say if we want to find the value of sine 75 degrees how can we do that how can we use this formula to evaluate sine 75 so you need to ask yourself what two angles that are very common that adds to 75. two common angles on a unit circle would be 30 and 45 30 plus 45 adds to 75 so were going to say a is 30 and b is 45 so this is going to be equal to sine of 30 cosine 45 plus cosine 30 times sine 45 so whats sine of 30 sine 30 is one half based on the unit circle cosine 45 is the square root of 2 divided by 2. cosine 30 is square root 3 over 2 and sine 45 is root 2 over two so one times root two is simply root