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Sum and Difference Formulas Worksheet

Sum and Difference Formulas Worksheet

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Instructions and help about angle sum and difference identities worksheet

in this video we're going to talk about the sum and difference formulas and how to use them in a particular problem so let's start with the sine function sine a plus B is equal to sine a cosine B plus cosine a sine B and there's 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 let's use the first one so let's 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 to common angles on a unit circle would be 30 and 45 30 plus 45 adds to 75 so we're going to say a is 30 and B is 45 so this is going to be equal to the sine of 30 cosine 45 plus cosine 30 times sine 45 so what's sine of 30 sine 30 is 1/2 based on a 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 2 so 1 times root 2 is simply root 2/2 times two i

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