Question

How do you prove the identity `(tanx)/(cscx + cotx) = secx - 1`?

Answer 1

You can use the following points:
`tan(x)=sin(x)/c0s(x)`
`csc(x)=1/sin(x)`
`cot(x)=cos(x)/sin(x)`
`sec(x)=1/cos(x)`
and:
`sin^2(x)+cos^2(x)=1`

substituting you get: