Question

вычеслите arctg (-1/√3)

Answer 1

) arctg √3 = π/3     arctg1 =  π/4      arcctg (-√3) =  π- arcctg √3 = π- π/6 = 5 π/6  получается      arctg √3 - arctg1 + arcctg (-√3) =  π/3- π/4+ 5π/6 = (4π-3π+10π)/12 = 11π/12  2) arcctg √3/3= π/6       tg (arcctg √3/3)=tg ( π/6)= 1/ √33)  arcctg (sin π/2) = arcctg 1 = π/4