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Q. Find the value of $ \cos \,\,(29\pi /3)? $

J & K CETJ & K CET 2014

Solution:


$ \cos \left( 29\frac{\pi }{3} \right)=\cos \left( \frac{(27+2)\pi }{3} \right) $
$ =\cos \left( 9\pi +\frac{2\pi }{3} \right) $
$ =-\cos \frac{2\pi }{3}=-\cos \left( \frac{\pi }{2}+\frac{\pi }{6} \right)=\sin \frac{\pi }{6}=\frac{1}{2} $