Question

tg (arcsin √32) если можно, с объяснением

Answer 1

 

$tan(arcsin frac{sqrt3}{2})=tan(arctanfrac{frac{sqrt3}{2}}{sqrt{1-(frac{sqrt3}{2})^2}})=tan(arctanfrac{sqrt3}{2sqrt{1-frac{3}{4}}})=\ =tan(arctanfrac{sqrt3}{2sqrt{frac{1}{4}}})=tan(arctanfrac{sqrt3}{2cdotfrac{1}{2}})=tan(arctansqrt3)=sqrt3$

Answer 2

tg(arcsinV3/2)  =  tgpi/3  =  V3

Ответ.   V3