cos 45º + cos 135º + cos 225° + cos? 315°
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Answer:
We know that cos 45°=1/√2
cos135°=cos(90°+45°) =-sin 45°=-1/√2
cos225=(180°+45°)=-cos 45°=-1/√2
cos315°=cos(360°-45°)=cos 45°=1/√2
now, cos 45°=(1/√2) =1/2
cos135°=(1/√2) =1/2
cos225°=(1/√2) =1/2
cos315°=(1/√2) =1/2
now, 45°+135°+225°+315°=1/2+1/2+1/2+1/2= 2 is the answer
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