![image](https://tex.z-dn.net/?f=sin+%5Calpha+%3D-%5Cfrac%7B4%7D%7B5%7D%2C%5Cquad++%5Calpha+%5Cin+1V%5C%3B+chetverti%5C%3B+%5Cto+cos+%5Calpha+%3E0%5C%5C%5C%5Ccos+%5Calpha+%3D%2B%5Csqrt%7B1-sin%5E2+%5Calpha+%7D%3D%5Csqrt%7B1-%5Cfrac%7B16%7D%7B25%7D%7D%3D%5Csqrt%7B%5Cfrac%7B9%7D%7B25%7D%7D%3D%5Cfrac%7B3%7D%7B5%7D)
0\\\\cos \alpha =+\sqrt{1-sin^2 \alpha }=\sqrt{1-\frac{16}{25}}=\sqrt{\frac{9}{25}}=\frac{3}{5}" alt="sin \alpha =-\frac{4}{5},\quad \alpha \in 1V\; chetverti\; \to cos \alpha >0\\\\cos \alpha =+\sqrt{1-sin^2 \alpha }=\sqrt{1-\frac{16}{25}}=\sqrt{\frac{9}{25}}=\frac{3}{5}" align="absmiddle" class="latex-formula">