If $\frac{\tan ^3 A}{\tan A}=k$, then $\frac{\sin 3 A}{\sin A}$ is equal to

JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1

\frac{\tan ^3 A}{\tan A}=k

, then

\frac{\sin 3 A}{\sin A}

is equal to

View answer and explanation

Correct option: A

\frac{2 k}{k-1}

Option A (

\frac{2 k}{k-1}

) is correct because by using trigonometric identities and simplifying the given expression, we can find that

\frac{\sin 3 A}{\sin A} = \frac{2k}{k-1}

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