Question 506868

sin(x)+cos(x)=(2sin^2(x) - 1)/(sin(x)-cos(x))


sin(x)+cos(x)=(2sin^2(x) - 1)/(sin(x)-cos(x))*((sin(x)+cos(x))/(sin(x)+cos(x)))


sin(x)+cos(x)=((2sin^2(x) - 1)*(sin(x)+cos(x)))/((sin(x)-cos(x))*(sin(x)+cos(x)))


sin(x)+cos(x)=((2sin^2(x) - 1)(sin(x)+cos(x)))/(sin^2(x)-cos^2(x))


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


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


sin(x)+cos(x)=sin(x)+cos(x)


So this verifies the identity