How do you simplify cotx / (cscx)?

1 Answer
Dec 5, 2015

cosx

Explanation:

Recall:
1. cotx=1/tanx or cosx/sinx
2. cscx=1/sinx

Substitute your reciprocal and quotient identities into the equation:

cotx/cscx

=(cosx/sinx)/(1/sinx)lArr use cotx=cosx/sinx instead of 1/tanx

=cosx/sinx-:1/sinx

=cosx/sinx*sinx/1

=cosx/color(red)cancelcolor(black)sinx*color(red)cancelcolor(black)sinx/1

=cosx