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Question
Evaluate:
`(sin^2 30^0 + 4 cot^2 45^0-sec^2 60^0)(cosec^2 45^0 sec^2 30^0)`
Solution
On substituting the values of various T-ratios, we get:
`(sin^2 30^0 + 4 cot^2 45^0-sec^2 60^0)(cosec^2 45^0 sec^2 30^0)`
=`[(1/2)^2+4xx(1)^2-(2)^2][(sqrt(2))^2(2/sqrt(3))^2]`
=`(1/4+4-4)(2xx4/3)`
=`1/4xx8/3=2/3`
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