$$\cos \frac{2 \pi}{6} + \sin \frac{5 \pi}{6} =$$
we can write this
cos60 + sin150 = equation 1
and sin150 = sin( 90 + 60)
= sin90co60 + cos90sin60
put sin90 = 1 and cos60 = 1\2
we get
sin150 = 1\2 and cos 60 = 1\2 put value in equation 1
cos60 + sin150 = 1\2 + 1\2 = 1 Answer
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