Question

If $\tan \theta =\frac{3}{4}$, find $\sin \theta$ and $\cos \theta$.

Answer 1

$tan\theta =\frac{3}{4}=\frac{opp}{adj}opp=3xadj=4xhyp=\sqrt{(3x{)}^2+(4x{)}^2}hyp=5x\sin \theta =\frac{3x}{5x}=\frac{3}{5}\cos \theta =\frac{4x}{5x}=\frac{4}{5}$