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Evaluate : (i) sin^(2)30^(@)*cos^(2)45...

Evaluate :
`(i) sin^(2)30^(@)*cos^(2)45^(@)+4tan^(2)30^(@)+(1)/(2)sin^(2)90+(1)/(8)cot^(2)60^(@)`
`(ii) (tan^(2)60^(@)+4sin^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/(cosec30^(@)+sec60^(@)-cot^(2)30^(@))`

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Let's solve the given problem step by step. ### Part (i) We need to evaluate: \[ \text{(i) } \sin^2 30^\circ \cdot \cos^2 45^\circ + 4 \tan^2 30^\circ + \frac{1}{2} \sin^2 90^\circ + \frac{1}{8} \cot^2 60^\circ \] ...
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