JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\sin B=\frac{1}{5} \sin (2 A+B)

, then

\frac{\tan (A+B)}{\tan A}

is equal to

View answer and explanation

Correct option: C

\frac{3}{2}

Option C (

\frac{3}{2}

) is correct because by applying the sine addition formula and componendo and dividendo, the ratio

\frac{\tan (A+B)}{\tan A}

simplifies to

\frac{3}{2}

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