Question

sin($\frac{x}{4}$) + cos($\frac{x}{2}$ = 1

Answer 1

Răspuns:

sin(x/4)+cos(2x/4)=1

sinx/4 notat cu t

t+1-2t^2=1

t(-2t+1)=0

a. t=0

sin(x/2)=0

x/2=k×pi

x=2kpi

sin(x/2)=1/2

x/2=(-1)^k × pi/6 +kpi

x=(-1)^k pi/3 +2kpi