Question

How do you verify `(cscx-1)/(1-sinx) =cscx`?

Answer 1

Please see below.

Explanation:

`(cscx-1)/(1-sinx)`

= `(1/sinx-1)/((1-sinx))`

= `((1-sinx)/sinx)/((1-sinx))`

= `((1-sinx))/sinx xx1/((1-sinx))`

= `(cancel(1-sinx))/sinx xx1/(cancel(1-sinx))`

= `1/sinx`

= `cscx`