Question

Given : $4\sin \Theta =3\cos \Theta$, find the value of:

$\sin \Theta$ is $\frac{3}{m}$, m is

Answer 1

$4\sin \Theta =3\cos \Theta$
$\tan \Theta =\frac{3}{4}$
$\tan \Theta =\frac{P}{B}=\frac{3}{4}$
$P=3,B=4$
Using Pythagoras Theorem,
$H^2=P^2+B^2$
$H^2=3^2+4^2$
$H=5$
$\sin \Theta =\frac{P}{H}=\frac{3}{5}$