JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

\cot \theta=\frac{\sqrt{m}+\sqrt{n}}{\sqrt{m}-\sqrt{n}}

, then

(m+n) \cos 2 \theta

is equal to

View answer and explanation

Correct option: A

2 \sqrt{m n}

Option A (

2 \sqrt{mn}

) is correct because by using the given equation and applying the double angle formula for cosine, the expression simplifies to

2 \sqrt{mn}

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