Question 119

$$\cos \frac{2 \pi}{6} + \sin \frac{5 \pi}{6} =$$

Solution

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$$\cos \frac{2 \pi}{6} + \sin \frac{5 \pi}{6} =$$

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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