Question

помогите решить,сижу не могу!!

Answer 1

1)

$sin(\alpha)= \frac{ \sqrt{2} }{2} \\ \\ \frac{ \sqrt{2} }{2} = \frac{\pi}{4} = \frac{3\pi}{4} \\ \\ a= \left \{ {{a= \frac{\pi}{4}+2\pi n ,n\in Z } \atop { \frac{3\pi}{4}+2\pi n , n\in Z }} \right.$

2)

$cos(\alpha)=- \frac{1}{2} \\ \\ - \frac{1}{2}= \frac{2\pi}{3}= \frac{4\pi}{3} \\ \\ a= \left \{ {{a= \frac{2\pi}{3}+2\pi n,n\in Z } \atop {a= \frac{4\pi}{3}-2\pi n,n\in Z }} \right.$

3)

$tg(\alpha)=- \frac{ \sqrt{3} }{3} ,a \neq \frac{\pi}{2}+\pi n,n\in Z \\ \\ a=arctg(- \frac{ \sqrt{3} }{3} )=- \frac{\pi}{6}+\pi n,n \in Z$

4)

$ctg(\alpha)= \sqrt{3} ,a \neq kn,n\in Z \\ \\ a=arcctg( \sqrt{3})= \frac{\pi}{6}+\pi n,n\in Z$