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  • Evaluate the following : sin 60 ^o cos 30 ^o + sin 30 ^o cos 60 ^o

1.  Evaluate the following :

      (i) \sin 60^{o}\cos 30^{o}+\sin30^{o} \cos 60^{o}

            

 

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\sin 60^{o}\cos 30^{o}+\sin30^{o} \cos 60^{o}
As we know,
the value of \sin 60^0 = \sqrt{3}/2 = \cos 30^0 , \sin 30^0 = 1/2=\cos 60^0 
\\\Rightarrow \frac{\sqrt{3}}{2}.\frac{\sqrt{3}}{2}+ \frac{1}{2}.\frac{1}{2}\\
  =\frac{3}{4}+\frac{1}{4}
 =1

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