Question

If 5 tan theta -4 =0 find the value of 5 sin theta - 4 cos theta/5 sin theta + 4 cos theta

Answer 1

I think it helps you

Answer 2

$5 \tan \alpha - 4 = 0 \\ so \: \tan \alpha = 4 \div 5 \\ find \: value \: of \:( 5 \sin \alpha - 4 \cos \alpha ) \div (5 \sin \alpha + 4 \cos \alpha ) \\ take \: \cos \alpha \: \: common \: \\ \cos \alpha (5 \tan \alpha - 4) \div \cos \alpha (5 \tan + 4 ) \\ we \: have \: now \: \\ (5 \tan \alpha - 4) \div (5 \tan \alpha + 4) \\ now \: put \: the \: value \: of \: \tan \alpha = 4 \div 5 \\ \: we \: get \: answer \: 0$