Question

(5sinX-3) / (4-5cosX) - (4+5cosX) / (3+5sinX)

Answer 1

$frac{5sin x-3}{4-5cos x} - frac{4+5cos x}{5sin x+3} = frac{25sin^2x-9-16+25cos^2x}{(4-5cos x)(5sin x+3)} = frac{25sin^2x-25+25-25sin^2x}{(4-5cos x)(5sin x+3)} =0$