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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If cos⁡α+cos⁡β=a,sin⁡α+sin⁡β=b\cos \alpha+\cos \beta=a, \sin \alpha+\sin \beta=b and α−β=2θ\alpha-\beta=2 \theta, then cos⁡3θcos⁡θ=\frac{\cos 3 \theta}{\cos \theta}=
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Correct option: B
a2+b2−3a^2+b^2-3
Option B (a2+b2−3a^2+b^2-3) is correct because by using the given relations and trigonometric identities, the expression cos⁡3θcos⁡θ\frac{\cos 3 \theta}{\cos \theta} simplifies to a2+b2−3a^2+b^2-3.

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