Question

sendo Alfa a medida de um ângulo agudo tal que seno Alfa = 24 dividido por 25 calcule cosseno de alfa e tangente de Alfa

Answer 1

$sen \alpha = \frac{24}{25} \\ sen^2x+cos^2 \alpha =1=\ \textgreater \ \frac{576}{625} +cos^2 \alpha =1=\ \textgreater \ cos^2 \alpha =1- \frac{576}{625  }[tex]$ cos^2 \alpha = \\ \frac{625-576}{625} = \frac{49}{625} =\ \textgreater \ cos \alpha = \frac{7}{25} \\ tg \alpha = \frac{sen \alpha }{cos \alpha } =\ \textgreater \ tg \alpha = \frac{24}{25} : \frac{7} \\ = \frac{24}{25} * \frac{25}{7} = \frac{24}{7} [/tex]