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Question
Evaluate the following:
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°)
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Solution
Given,
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°) …(i)
= `((sqrt2)^2 · (2/sqrt3)^2)((1/2)^2 + 4(1)^2 - (2)^2)`
= `(8/3)(1/4 + 4 - 4)`
= `8/3·1/4`
= `2/3`
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