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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If sin⁡2θ+sin⁡2ϕ=1/2\sin 2 \theta+\sin 2 \phi=1 / 2 and cos⁡2θ+cos⁡2ϕ=3/2\cos 2 \theta+\cos 2 \phi=3 / 2, then cos⁡2(θ−ϕ)=\cos ^2(\theta-\phi)=
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Correct option: B
5/85 / 8
Option B (5 / 8) is correct because squaring and adding the given equations, then using trigonometric identities, leads to cos⁡2(θ−ϕ)=5/8\cos^2(\theta - \phi) = 5/8.

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