\n
Enunciado<\/b><\/span><\/p>\nIndique uma express\u00e3o geral dos \u00e2ngulos que t\u00eam:<\/p>\n
\n- seno igual a $-0,5$<\/li>\n
- co-seno igual a $0$<\/li>\n<\/ol>\n
Resolu\u00e7\u00e3o >><\/a><\/span><\/div><\/div>\n\n\n
Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n\n- No intervalo $\\left[ 0,2\\pi\u00a0 \\right]$ h\u00e1 dois \u00e2ngulos cujo seno \u00e9 igual a $-0,5$: ${{\\alpha }_{1}}=\\frac{7\\pi }{6}$ ou ${{\\alpha }_{2}}=\\frac{11\\pi }{6}$.
\nLogo, uma express\u00e3o geral desses \u00e2ngulos \u00e9: \\[\\begin{matrix}
\n\\alpha =\\frac{7\\pi }{6}+2k\\pi\u00a0 & \\vee\u00a0 & \\alpha =\\frac{11\\pi }{6}+2k\\pi\u00a0\u00a0 \\\\
\n\\end{matrix},\\,\\,k\\in \\mathbb{Z}\\]
\nOu, ainda, por exemplo: \\[\\begin{matrix}
\n\\alpha =\\frac{7\\pi }{6}+2k\\pi\u00a0 & \\vee\u00a0 & \\alpha =-\\frac{\\pi }{6}+2k\\pi\u00a0\u00a0 \\\\
\n\\end{matrix},\\,\\,k\\in \\mathbb{Z}\\]
\n\u00ad<\/li>\n - No intervalo $\\left[ 0,2\\pi\u00a0 \\right]$ h\u00e1 dois \u00e2ngulos cujo co-seno \u00e9 igual a $0$: ${{\\alpha }_{1}}=\\frac{\\pi }{2}$ ou ${{\\alpha }_{2}}=\\frac{3\\pi }{2}$.
\nLogo, uma express\u00e3o geral desses \u00e2ngulos \u00e9: \\[\\begin{matrix}
\n\\alpha =\\frac{\\pi }{2}+2k\\pi\u00a0 & \\vee\u00a0 & \\alpha =\\frac{3\\pi }{2}+2k\\pi\u00a0\u00a0 \\\\
\n\\end{matrix},\\,\\,k\\in \\mathbb{Z}\\]
\nOu, ainda, por exemplo: \\[\\alpha =\\frac{\\pi }{2}+k\\pi ,\\,\\,k\\in \\mathbb{Z}\\]<\/li>\n<\/ol>\n\u00ad<\/p>\n