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

1 Answer
Sonnhard
May 26, 2018

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)

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