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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If sin⁡θ=nsin⁡(θ+2α)\sin \theta=n \sin (\theta+2 \alpha), then tan⁡(θ+α)\tan (\theta+\alpha) is equal to
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Correct option: B
(1+n1−n)tan⁡α\left(\frac{1+n}{1-n}\right) \tan \alpha
Option B ((1+n1−n)tan⁡α\left(\frac{1+n}{1-n}\right) \tan \alpha) is correct because it is the result of applying the componendo and dividendo rule and trigonometric identities to the given equation.

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