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Question

The value of sin1+sin2++sin359 is equal to
  1. 0  
  2. 1    
  3. 180   
  4. 1    


Solution

The correct option is A 0  
sin1+sin2++sin359
=sin1+sin2++sin179+sin180   +sin181+sin182++sin359 
=sin1+sin2++sin179+sin180   +sin(180+1)+sin(180+2)++sin(180+179) 
=sin1+sin2++sin179+sin180   sin1sin2sin179 
=0

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