cos(П/2+x) - sin(П-x) = 1

Question

cos(П/2+x) - sin(П-x) = 1

Answer 1

cos(pi/2+x)=-sin(x)

sin(pi-x)=sin(x)

-2sinx=1

sinx=-1/2

x=-pi/6+2pi*n

x=7pi/6+2pi*n

Answer 2

-sinx-sinx=1

-2sinx=1

sinx=-1/2

x=((-1)^k+1)*п/6+пk