Mathematics, 25.12.2019 06:31 sanociahnoel
Find \cos\left(\dfrac{13\pi}{12}\right)c os( 12 13π )cosine, (, start fraction, 13, pi, divided by, 12, end fraction, )exactly using an angle addition or subtraction formula.
Answers: 3
![cos(\frac{13\pi }{12} )\\=cos(\pi +\frac{\pi }{12} )\\=-cos(\frac{\pi }{12} )\\=-cos(\frac{\pi }{3} -\frac{\pi }{4} )\\=-[cos \frac{\pi }{3} cos\frac{\pi }{4} +sin\frac{\pi }{3} sin\frac{\pi }{4} ]\\=-[\frac{1}{2} *\frac{1}{\sqrt{2} } +\frac{\sqrt{3} }{2} *\frac{1}{\sqrt{2} } ]\\=-\frac{1+\sqrt{3} }{2\sqrt{2} }](/tpl/images/0432/6615/d5f27.png)
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Find \cos\left(\dfrac{13\pi}{12}\right)c os( 12 13π )cosine, (, start fraction, 13, pi, divided by,...
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