Find the value of sin60.cos30+cos60.sin30

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Solution

30o and 60oare angles of one of the standard triangles

sin(30o)=12

cos(30o)=√32

sin(60o)=√32

cos(60o)=12

So
sin(60o)⋅cos(30o)+sin(30o)⋅cos(60o)

=(√32)(√32)+(12)(12)=34+14

=1

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