Question

Sa se calculeze:
a) arcsim x supra 2,daca x€ {-1; 1; √2; -√3}
b) arccos 1 pe x, daca x€{-√2; -1; 1; √2; 2√3 pe 3}

Answer 1

$a) arsin \frac{-1}{2}=- \frac{ \pi }{6};arcsin \frac{1}{2}= \frac{ \pi }{6} ;arcsin \frac{ \sqrt{2} }{2}= \frac{ \pi }{4} ;arcsin \frac{- \sqrt{3} }{2}= \frac{- \pi }{3 } \\ b)arccos \frac{1}{- \sqrt{2} } = \pi - \frac{ \pi }{4}= \frac{3 \pi }{4} ;arccos \frac{1}{-1}=0;arccos1=0; \\ arccos \frac{ \sqrt{2} }{2}= \frac{ \pi }{4} ;arccos \frac{ \sqrt{3} }{2}= \frac{ \pi }{3}$