Question

if sin5x=cosx and 5x is less than 90degree than tan 3x=1 justify statement

Answer 1

$\sin(5x) = \cos(x)$
$\sin(5x ) = \sin(90 - x)$
$comparing$
$5x = 90 - x$
$6x = 90$
$x = 15$
$so \: the \: value \: of \: \tan(3x)$
$\tan(3 \times 15)$
$\tan(45 ) = 1$