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13/12 is the answer
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cot60^2+sin45^2+sin30^2+cos90^2
=(1/√3)^2+(1/√2)^2+(√3/2)^2+(0)^2
=1/3+1/2+3/4
=4+6+9/12
=19/12
=(1/√3)^2+(1/√2)^2+(√3/2)^2+(0)^2
=1/3+1/2+3/4
=4+6+9/12
=19/12
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