Обчисліть 1) arccos(-1) + 2arccos 1/2 2)arccos1-п 3)arcsin(-1/2) - arccos √3/2 4) arcsin 1/2 + arccos (-√3/2) 5) arcsin1 + arccos(-1) 6) arccos (-√2/2) - arccos √2/2

[tex]1)arccos(-1)+2arccos\frac{1}{2}=\pi +\frac{\pi }{3}=\frac{4\pi }{3}\\\\2)arccos1-\pi=0-\pi=-\pi \\\\3)arcsin(-\frac{1}{2})-arccos\frac{\sqrt{3} }{2}=-\frac{\pi }{6}-\frac{\pi }{6}=-\frac{2\pi }{6}=-\frac{\pi }{3}[/tex]

[tex]4)arcsin\frac{1}{2}+arccos(-\frac{\sqrt{3} }{2})=\frac{\pi
}{6}+\frac{5\pi }{6}=\frac{6\pi }{6}=\pi\\\\5)arcsin1+arccos(-1)=\frac{\pi }{2}+\pi=\frac{3\pi }{2}\\\\6)arccos(-\frac{\sqrt{2} }{2})-arccos\frac{\sqrt{2} }{2}=\frac{3\pi }{4}-\frac{\pi }{4}=\frac{2\pi }{4}=\frac{\pi }{2}[/tex]