Question

How do you solve: csc(-x)/sec(-x) ?

Answer 1

`-cotx`

Explanation:

Given that cosecant is a odd function and secant is an even function:
`csc(-x)/sec(-x)`

`-cscx/secx`

Apply reciprocal identities:
`(-1/sinx)/(1/cosx)=`

`-1/sinx*cosx`

`-cosx/sinx`

Apply quotient identity:
`-cotx`