Question

Помогите с алгеброй 10. Хотя бы первое задание

Answer 1

$sint=-\frac{24}{25}\\\\\\\pi <t<\frac{3\pi }{2}\; \; \to \; \; cost<0\; ,\; tgt>0\; ,\; \; ctgt>0\\\\cost=-\sqrt{1-sin^2t}=-\sqrt{1-\frac{576}{625}}=-\frac{7}{25}\\\\tgt=\frac{sint}{cost}=\frac{-24/25}{-7/25}=\frac{24}{7}\; \; ,\; \; ctgt=\frac{1}{tgt}=\frac{7}{24}\\\\50cost+24ctgt=50\cdot \frac{-7}{25}+24\cdot \frac{7}{24}=-14+7=-7$