Question

plz tell me the answer for this question ​

Answer 1

Answer: 93/149

Step-by-step explanation:

$4\cos\theta = 11 \sin\theta\\\\ \implies \tan\theta=\dfrac{4}{11}  \\ \\ \dfrac{11\cos\theta-7\sin\theta}{11\cos\theta+7\sin\theta} \\ \\ \text{Dividing the numerator and denominator of the given eq by cos}\ \theta. \\ \\ \implies   \dfrac{\Bigg(\dfrac{11\cos\theta-7\sin\theta}{\cos\theta}\Bigg)}{\Bigg(\dfrac{11\cos\theta+7\sin\theta}{\cos\theta}\Bigg)} \\ \\ \\ \implies \dfrac{11-7\tan\theta}{11+7\tan\theta} \\ \\ \text{Substitute the value of tan}(\theta) : \\ \\ \implies \boxed{\dfrac{93}{149}}$

Hope this answer helps you.