Question

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

Answer 1

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