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Prove that cot^2 60^@+sin^2 45^@ +sin^2 ...

Prove that `cot^2 60^@+sin^2 45^@ +sin^2 30^@+cos^2 90^@=(13)/(12)`

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`cot^2 60^@+sin^2 45+ sin^2 30^@+cos^2 90^@`
`(1/sqrt3)^2+(1/sqrt2)^2+(1/2)^2+0`
`=1/3+1/2+1/4=`(4+6+3)/(12)=(13)/(12)`.
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