Math  /  Trigonometry

QuestionFind the exact value of cos2π9cosπ18+sin2π9sinπ18\cos \frac{2 \pi}{9} \cos \frac{\pi}{18}+\sin \frac{2 \pi}{9} \sin \frac{\pi}{18}

Studdy Solution
Calculate the exact value of cos(π6)\cos\left(\frac{\pi}{6}\right):
cos(π6)=32\cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2}
The exact value of the expression is:
32\boxed{\frac{\sqrt{3}}{2}}

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