evaluate cos^2 45+ cos^2 135+ cos^2 225+ cos^2 315
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Answer:
cos²45+cos²(90+45)+cos²(180+45)+ cos²(270+45)
=cos²45-sin²45-cos²45-sin²45
=(1/√2)²+(-1/√2)²+(-1/√2)²+(-1/√2)²
=1/2+1/2+1/2+1/2
=4/2
=2
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