Question

2sin(x+π/2)=1 решите
уравнение

Answer 1

sin(x+π/2)=1/2
x+π/2=(-1)ⁿ π/6+πn
x=(-1)ⁿπ/6-π/2+πn   n∈Z

Answer 2

$sin(x+ \frac{ \pi }{2})= \frac{1}{2} \\ \\ x+ \pi /2=(-1)^k* \frac{ \pi }{6}+ \pi k \\ \\ x=(-1)^k*- \frac{ \pi }{3}+ \pi k$

x=(-1)^k*-pi/3+pi*k,   k∈Z