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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If sin⁡(x+y)sin⁡(x−y)=a+ba−b\frac{\sin (x+y)}{\sin (x-y)}=\frac{a+b}{a-b}, then tan⁡xtan⁡y\frac{\tan x}{\tan y} is equal to
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Correct option: B
ab\frac{a}{b}
Option B (ab\frac{{a}}{{b}}) is correct because by applying the componendo and dividendo rule and simplifying, the ratio tan⁡xtan⁡y\frac{{\tan x}}{{\tan y}} is found to be ab\frac{{a}}{{b}}.

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