If 3 tanθ = 2\sqrt{3} sinθ, 0° < θ < 90°, then the value of {\cos ⁡ec^{2}2\:\theta + \cot ^{2}2\:\theta }/{ \sin ^{2}\:\theta + \tan ^{2}2\:\theta } is:

SSC CGL Tier II Quant 29 Jan 2022 Paper

Question : 64 of 100

Marks: +1, -0

If 3 tanθ =

2{√{3}}

sinθ, 0° < θ < 90°, then the value of

\;{\cos\;⁡ec^{2}2\:θ\;\;+\;\cot\;^{2}2\:θ\;}/{\ sin\;^{2}\:θ + \tan ^{2}2\:θ }

is:

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