Question

cos(3П+x/2)-cos(П+x)=1

Answer 1

-cosx/2+cosx=1
1-2cos²x+cosx=1
2cos²x-cosx=0
cosx(2cosx-1)=0
cosx=0 или cosx=1/2
x=π/2+πk
x=+/- π/3+2πk, k∈Z

Answer 2

sinx/2+cosx=1

Answer 3

sinx/2+1-2sin^2x/2=1

Answer 4

sinx/2(1-2sinx/2)=0

Answer 5

x/2=Пк или x/2=+/- П/3 +2Пк