Question 118840
{{{cosxcotx + sinx = cscx}}} Start with the given equation




{{{cosx(cosx/sinx) + sinx = cscx}}} Rewrite {{{cotx}}} as {{{cosx/sinx}}}



{{{cosx(cosx/sinx) + (sinx/sinx)sinx= cscx}}} Multiply {{{sinx}}} by {{{sinx/sinx}}}



{{{(cosx)^2/sinx + (sinx)^2/sinx= cscx}}} Combine the fractions




{{{((cosx)^2+(sinx)^2)/sinx= cscx}}} Add the fractions



{{{(1)/sinx= cscx}}} Rewrite {{{(cosx)^2+(sinx)^2}}} as 1




{{{ cscx= cscx}}} Rewrite {{{(1)/sinx}}} as {{{cscx}}}