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sin^(2)pi/6+cos^(2)pi/3-tan^(2)pi/4=-1/2...

`sin^(2)pi/6+cos^(2)pi/3-tan^(2)pi/4=-1/2`

Text Solution

Verified by Experts

L.H.S. `=sin^(2)pi/6+cos^(2)pi/3-tan^(2)pi/4`
`=sin^(2)30^(@)+cos^(2)60^(@)-tan^(2)45^(@)`
`=(1/2)^(2) + (1/2)^(2)-(1)^(2)`
`=1/4 +1/4-1=-1/2` RHS. Hence proved
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