If \frac{ \sin ⁡\theta + \cos ⁡\theta}{ \sin ⁡\theta−\cos ⁡\theta} = 5, where 0 < θ < \frac{\pi }{2}, θ ≠ \frac{\pi }{4}, then what is the value of \frac{2 \sin ⁡\theta + 3\cos ⁡\theta }{3 \sin ⁡\theta −2\cos ⁡\theta } ?

SSC CGL 14 Jul 2023 Shift 1 Paper

Question : 56 of 100

Marks: +1, -0

\;{\ sin\;⁡θ\;+\;\cos\;⁡θ}/{\ sin\;⁡θ−\cos\;⁡θ}

= 5, where 0 < θ <

\;{π\;}/{2}

, θ ≠

\;{π\;}/{4}

, then what is the value of

\;{2\ sin\;⁡θ\;\;+\;3\cos\;⁡θ\;}/{3\ sin\;⁡θ\;−2\cos\;⁡θ\;}

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