Question

tg105 распишите его плиз

Answer 1

$tg105 =tg(60+45)=frac{tg60+tg45}{1-tg60tg45}=frac{sqrt{3}+1}{1-sqrt{3}}=frac{(sqrt{3}+1)(1+sqrt{3})}{(1-sqrt{3})(1+sqrt{3})}=frac{1+3+2sqrt{3}}{1-3}=-frac{4+2sqrt{3}}{2}=-sqrt{3}-2$