Rút gọn BT: A = sin^2 21 độ + cos^2 21 độ + tan 18 độ - cot 72 độ
36
04/05/2024
Rút gọn BT:
\[{\rm{A = si}}{{\rm{n}}^{\rm{2}}}{\rm{2}}{{\rm{1}}^{\rm{o}}}{\rm{ + co}}{{\rm{s}}^{\rm{2}}}{\rm{2}}{{\rm{1}}^{\rm{o}}}{\rm{ + tan1}}{{\rm{8}}^{\rm{o}}}{\rm{ - cot7}}{{\rm{2}}^{\rm{o}}}\]
Trả lời
\[{\rm{A = si}}{{\rm{n}}^{\rm{2}}}{\rm{2}}{{\rm{1}}^{\rm{o}}}{\rm{ + co}}{{\rm{s}}^{\rm{2}}}{\rm{2}}{{\rm{1}}^{\rm{o}}}{\rm{ + tan1}}{{\rm{8}}^{\rm{o}}}{\rm{ - cot7}}{{\rm{2}}^{\rm{o}}}\]
\[{\rm{A = 1 + tan1}}{{\rm{8}}^{\rm{o}}}{\rm{ - tan1}}{{\rm{8}}^{\rm{o}}}\]
\[{\rm{A = 1 + 0 = 1}}\]
Công thức:\[{\rm{si}}{{\rm{n}}^{\rm{2}}}{\rm{\alpha + co}}{{\rm{s}}^{\rm{2}}}{\rm{\alpha = 1}}\]
\[{\rm{tan\alpha = cot}}\left( {{\rm{9}}{{\rm{0}}^{\rm{o}}}{\rm{ - \alpha }}} \right)\]