Question

Помогите с алгеброй плс!!

Answer 1

$sint=-0,6\\\\t\in (-\frac{\pi}{2}\; ;\; 0\; )\; \; \; \Rightarrow \; \; \; cost>0\; ,\; tgt<0\; ,\; ctgt<0\\\\\boxed {\; sin^2t+cos^2t=1\; }\quad \Rightarrow \quad cos^2t=1-sin^2t\\\\cos^2t=1-0,36=0,64\; \; ,\; \; cost=\pm 0,8\\\\cost>0\; \; \Rightarrow \; \; \; cost=+0,8\\\\tgt=\frac{sint}{cost}=\frac{-0,6}{0,8}=-0,75\\\\ctgt=\frac{1}{tgt}=-\frac{1}{0,75}=-\frac{4}{3} =-1\frac{1}{3}$