Question 751312
Verify: {{{(1-sin(x))/(1+sin(x))=(sec(x)-tan(x))^2}}}
start with LHS
{{{(1-sin(x))/(1+sin(x))*(1-sin(x))/(1-sin(x))=(1-2sin(x)+sin^2(x))/(1-sin^2(x))
=(1-2sin(x)+sin^2(x))/(cos^2(x))=(1/cos^2(x))-2sin(x)/cos^2(x)+sin^2(x)/cos^2(x)}}}
{{{(sec^2(x))-2sec(x)tan(x)+tan^2(x)=(sec(x)-tan(x))^2}}}
verified: LHS=RHS