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Question
Write the value of ` sin^2 theta cos^2 theta (1+ tan^2 theta ) (1+ cot^2 theta).`
Solution
`sin^2 theta cos^2 theta (1+ tan^2 theta ) (1+ cot^2 theta)`
=`sin^2 theta cos^2 theta sec^2 theta cosec^2 theta `
= ` sin^2 theta xx cos^2 xx 1/cos^2 theta xx1/sin^2 theta`
= 1
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