Question

If sinx : cosx:: root 3 : 1,then find the value of sunx and cosx

Answer 1

$\frac{ \sin(x) }{ \cos(x) } = \frac{ \sqrt{3} }{1}$
$but \: \frac{ \sin(x) }{ \cos(x) } = \tan(x)$
$hence \: \\ \tan(x) = \sqrt{3}$
$\tan(x) = \tan(60)$
$x = 60$
$\sin(x) = \sin(60) = \frac{ \sqrt{3} }{2}$
$and \\ \cos(x) = \cos(60) = \frac{1}{2}$

Answer 2

Answer:

sinx = root 3/2

cos x = 1/2