2a)
[tex]sin\alpha = \frac{3}{5} = 0.6\\cos\alpha = \frac{4}{5} = 0,8\\sin^{2} \alpha +cos^{2}\alpha =1\\\\0,6^{2} + 0,8^{2} = 1\\0,36+0,64 = 1\\[/tex]
równość prawdziwa
3a)
[tex]sin\alpha = \frac{5}{13} \\cos\alpha = \frac{12}{13}\\tg\alpha = \frac{5}{12} \\\\\frac{5}{12} = \frac{\frac{5}{13} }{\frac{12}{13} } \\\frac{5}{12} * \frac{12}{13} = \frac{5}{13}\\ \frac{60}{156} = \frac{5}{13} \\\frac{5}{13} = \frac{5}{13}[/tex]
rownosc prawdziwa