Answer to Question #249891 in Algebra for freebandz

Question

if 4sinx=6cosx, find the value of angle x to the nearest degree

Answer 1

$4sinx=6cosx$

$sinx/cosx=6/4$

but $sinx/cosx=tanx$

$tanx=6/4=1.5$

$x=tan^{-1}1.5=56.3^o$