Chapter 5
Chapter 5
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 ) =