If sin(A + B) = 1 and cos(A - B) = {\sqrt{3}}/{2}, A + B ≤ 90° and A > B, then the value of {5 \sin ^{2}⁡B + 4\tan ^{2}⁡A}/{2 \sin ⁡B\cos ⁡A} is:

SSC CGL 14 Jul 2023 Shift 1 Paper

Question : 71 of 100

Marks: +1, -0

If sin(A + B) = 1 and cos(A - B) =

\;{{√{3}}}/{2}

, A + B ≤ 90° and A > B, then the value of

\;{5\ sin\;^{2}⁡B\;+\;4\tan\;^{2}⁡A}/{2\ sin\;⁡B\cos\;⁡A}

is:

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