Question

if 3 sin A = 4 cos A , then find tan A​

Answer 1

Step-by-step explanation:

3 sin A = 4 cos A

sinA/cosA=4/3

by using sin/cos = tan

tanA = 4/3

Answer 2

Answer:

$\huge\boxed{\tan A=\dfrac{4}{3}}$

Step-by-step explanation:

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\3\sin A=4\cos A\qquad|\text{divide both sides by 3}\\\\\sin A=\dfrac{4\cos A}{3}\qquad|\text{divide both sides by}\ \cos A\neq0\to A\neq\dfrac{\pi}{2}+k\pi\\\\\dfrac{\sin A}{\cos A}=\dfrac{4}{3}\Rightarrow\tan A=\dfrac{4}{3}$