Question

If $\tan \theta =\frac{x}{y}$, find $\sin \theta$ and $\cos \theta$.

Answer 1

$\tan \theta =\frac{x}{y}$

So the perpendicular sides of triangle are $x,y$

ByPytagorous theorm

Hypotenuse${}^2=x^2+y^2$

Hypotenuse $=\sqrt{x^2+y^2}$

$\sin \theta =\frac{x}{\sqrt{x^2+y^2}}\cos \theta =\frac{y}{\sqrt{x^2+y^2}}$