Question

Свойства преобразование графиков функции 1) у=cosx+2 2)y=sin(x+п/3) 3)y=cos(x+п/3) 4)y=cos(x-п/4) 5)y=tgx 1- y=cos x-2 2- y=cos(x-п/4) 3- y=sin(x+п/6) 4- y=cos(x+п/3)

Answer 1

2. sint=3/5>0 0<t<П/2 cost>0
 sin^2t=9/25  cos^2t=1-sin^2t=1-9/25=16/25  cost=4/5
sin(t+П/6)=sintcosп/6+costsinП/6=sqrt(3)/2sint+cost*1/2=3sqrt(3)/10+4/10=(3√3+4)/10
cos(П/2+t)=-sint=-3/5
1. √2cos(П/4-x)-cosx=1/2
√2*(√2/2cosx+√2/2sinx)-cosx=1/2
cosx+sinx-cosx=1/2
sinx=1/2
x=(-1)^kП/6+Пk