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Evaluate: cosec5 cosec2 30∘-cos90∘4tan260∘ - Mathematics

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Question

Evaluate: `(5  "cosec"^2  30^circ - cos 90^circ)/(4 tan^2 60^circ)`

Sum

Solution

 `(5  "cosec"^2  30^circ - cos 90^circ)/(4 tan^2 60^circ)`

= `(5(2)^2 - (0))/(4 xx (sqrt(3))^2`

= `20/(4 xx 3)`

= `5/3`

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2022-2023 (March) Basic - Outside Delhi Set 2
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