JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

\frac{\sin x}{\sin y}=\frac{1}{2}, \frac{\cos x}{\cos y}=\frac{3}{2}

, where

x, y \in\left(0, \frac{\pi}{2}\right)

, then the value of

\tan (x+y)

View answer and explanation

Correct option: D

\sqrt{15}

Option D (

\sqrt{15}

) is correct because by using the given ratios and trigonometric identities, we can find the value of

\tan x

and then calculate

\tan(x+y)

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