Question

решите уравнение.
sin(п+x)=cos(-п/3)

Answer 1

-sinx=1/2

sinx=-1/2

$x=(-1)^n*(-frac{pi}{6})+pi n\ x=(-1)^{n+1}*frac{pi}{6}+pi n$

Answer 2

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

 

k є Z