Question 602403
(sin(x))/(cos(x))+(cos(x))/(sin(x)) = sec(x)csc(x)


(sin(x)sin(x))/(sin(x)cos(x))+(cos(x))/(sin(x)) = sec(x)csc(x)


(sin^2(x))/(sin(x)cos(x))+(cos(x))/(sin(x)) = sec(x)csc(x)


(sin^2(x))/(sin(x)cos(x))+(cos(x)cos(x))/(sin(x)cos(x)) = sec(x)csc(x)


(sin^2(x))/(sin(x)cos(x))+(cos^2(x))/(sin(x)cos(x)) = sec(x)csc(x)


(sin^2(x)+cos^2(x))/(sin(x)cos(x)) = sec(x)csc(x)


(1)/(sin(x)cos(x)) = sec(x)csc(x)


(1/sin(x))*(1/cos(x))= sec(x)csc(x)


csc(x)*sec(x)= sec(x)csc(x)


sec(x)csc(x)= sec(x)csc(x)



This verifies the identity.