Question

Вычислите (tg pi/4-ctg 3pi/4)(*sin pi/6)) / (2cos pi/3 - sin 3pi/4)

Answer 1

$frac{2( frac{1}{2}) }{2cos( frac{ pi }{3} )-sin( frac{3 pi }{4} )}$
$frac{2( frac{1}{2}) }{ frac{2- sqrt{2} }{2} }$
$2( frac{1}{2}) frac{2}{2- sqrt{2} }$
$frac{1}{1} frac{1}{1} frac{2}{2- sqrt{2} }$
$1 frac{2}{2- sqrt{2} }$
$frac{2}{2- sqrt{2} }$
$frac{2}{2- sqrt{2} } frac{2+ sqrt{2} }{2+ sqrt{2} }$
$frac{2(2+ sqrt{2} )}{(2- sqrt{2})(2+ sqrt{2}) }$
$frac{2(2+ sqrt{2}) }{4+2 sqrt{2}-2 sqrt{2} - sqrt{2} ^2 }$
$frac{2(2+ sqrt{2}) }{2}$
$2+ sqrt{2}$