f(x)= cscx/cotx

f(x)=csc x/cot x

=(1/sin x)/(cos x/sin x)

=1/cos x

df(x)/dx=d(1/cos x)/dx

Applying division rule

d(1/cos x)/dx=[cosx*d(1)/dx -1*d(cos x)/dx]/cos^{2} x

=sin x/cos^{2} x

=tan x*sec x

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