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Sum and Difference Formulas Worksheet

Sum and Difference Formulas Worksheet

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Professor Dave here, let’s learn some important formulas for trig functions. I know that you’ve probably had enough of trig functions for a while, but there are some important formulas to mention, so let’s knock them all out in one clip. First, the sum and difference formulas for sine and cosine, which are as follows. These tell us that if we want to find the sine or cosine of an angle that is the sum or difference of two other angles, we can find it in terms of the sine and cosine of those two angles. There are derivations for these, but they are a bit involved, so we won’t go over them here, instead we will just learn how to apply them. For example, let’s say we want to find the exact value for cosine of five twelfths pi. This is not part of the unit circle, but if we split it up into three twelfths pi and two twelfths pi, which reduce to quarter pi and a sixth pi, these are indeed angles for which we know precise sine and cosine values. So let’s take this formula here an

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