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Question

The value of sin420cos390cos(660)sin330 is

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Solution

As we know that 2π=360°
So sin420cos390cos(660)sin330
=sin420cos390cos(660)sin330=sin(2π+60)cos(2π+30)cos(7π2+30)sin(3π2+60)=sin60cos30sin30(cos60)=3232+1212=1

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