{(1 + \sec ⁡\theta\cos ⁡ec\:\theta)^{2}( \sec ⁡\theta−\tan ⁡\theta)^{2}(1 + \sin ⁡\theta)}/{( \sin ⁡\theta + \sec ⁡\theta)^{2} + (\cos ⁡\theta + \cos ⁡ec\:\theta)^{2}}, 0° < θ < 90°, is equal to:

SSC CGL Tier II Quant 29 Jan 2022 Paper

Question : 55 of 100

Marks: +1, -0

\;{(1\;+\;\ sec\;⁡θ\cos\;⁡ec\:θ)^{2}(\ sec\;⁡θ−\tan\;⁡θ)^{2}(1\;+\;\ sin\;⁡θ)}/{(\ sin\;⁡θ\;+\;\ sec\;⁡θ)^{2} + (\cos ⁡θ + \cos ⁡ec\:θ)^{2}}

, 0° < θ < 90°, is equal to:

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