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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If tan⁡A−tan⁡B=12\tan A-\tan B=\frac{1}{2} and cot⁡A−cot⁡B=13\cot A-\cot B=\frac{1}{3}, then cot⁡(A−B)\cot (A-B) is equal to:
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Correct option: B
-1
The correct answer is B (-1) because by manipulating the given equations and using the cotangent subtraction formula, we find the value of cot(A-B).

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