Question

How do you verify `(secx - cscx)/(sin^2 x - cos^2 x) = (secx*cscx)/(cos(-x)-sin( -x))`?

Answer 1

Use `sin^2(x)-cos^2(x)=(sin(x)-cos(x))(sin(x)+cos(x))`

Explanation:

we have

`((sin(x)-cos(x))/(cos(x)sin(x)))/((sin(x)-cos(x))(sin(x)+cos(x))`
That is
`1/((sin(x)cos(x))*(sin(x)+cos(x)))=(sec(x)*csc(x))/(sin(x)+cos(x))`
for
`sin^2(x)ne cos^2(x)`