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Chapter 5

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Chapter 5

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5.2: The Sum and Difference Identities<br />

Theorem<br />

sin(α ± β) = sin α cos β ± cos α sin β<br />

Note: ± ⇒ ±<br />

Examples:<br />

◮ sin( π<br />

4<br />

◮ sin( π<br />

4<br />

◮ sin( 5π<br />

12<br />

+ π<br />

6<br />

− π<br />

6<br />

) =<br />

◮ sin(− π<br />

12<br />

) = sin( π<br />

4<br />

) =<br />

) =<br />

) cos( π<br />

6<br />

) + cos( π<br />

4<br />

π ) sin( 6 ) =

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