Question

50 БАЛЛОВ, помогите!!!
Ответ "-4" неверный

Answer 1

$\frac{\sqrt{3}}{Sin100^{0}}+\frac{1}{Cos260^{0}}=\frac{\sqrt{3}}{Sin(90^{0}+10^{0})}+\frac{1}{Cos(270^{0}-10^{0})}=\frac{\sqrt{3}}{Cos10^{0}}-\frac{1}{Sin10^{0}}=\frac{\sqrt{3}Sin10^{0}-Cos10^{0}}{Sin10^{0}Cos10^{0}}=\frac{4*(\frac{\sqrt{3}}{2}Sin10^{0}-\frac{1}{2}Cos10^{0})}{2Sin10^{0}Cos10^{0}}=\frac{4*(Sin10^{0}*Cos30^{0}-Sin30^{0}*Cos10^{0})}{Sin20^{0}}=\frac{4*Sin(30^{0}-10^{0}) }{Sin20^{0}}=\frac{4Sin20^{0}}{Sin20^{0}}=4$