Odpowiedź:
[tex]tg \alpha = \frac{7}{24} \\ \frac{sin \alpha }{cos \alpha } = \frac{7}{24 } \\ \\ sin \alpha = \frac{7}{24} cos \alpha \\ \\ {sin}^{2} \alpha + {cos}^{2} \alpha = 1 \\ ( \frac{7}{24} co \alpha {)}^{2} + {cos}^{2} \alpha = 1 \\ \frac{49}{576} {cos}^{2} \alpha + {cos}^{2} \alpha = 1 \\ \frac{625}{576} {cos}^{2} \alpha = 1 \\ {cos}^{2} \alpha = \frac{576}{625} \\ cos \alpha = \sqrt{ \frac{576}{625} } = \frac{24}{25} [/tex]
[tex]sin \alpha = \frac{7}{24} \times \frac{24}{25} = \frac{7}{25} \\ \\ [/tex]
[tex]crg \alpha = \frac{1}{tg \alpha } = \frac{1}{ \frac{7}{24} } = \frac{24}{7} [/tex]
