Question

If 3 tan theta equal to 4 find the value of 5 sin theta minus 3 cos theta by 5 sin theta + 2 cos theta

Answer 1

sintheta
$sintheta = 4\div 3 \\ costheta = 4 \div 5$
$sintheta = 4\div 3 \\ costheta = 4 \div 5 \\ \\ (5 \sin(theta ) - 3 \cos(theta) ) \div (5 sin(theta) + 2 \cos(theta) )$

=16/31