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(cosx/secx-1)-(cosx/tan^2x)=cot^2x
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(cosx/secx-1)-(cosx/tan^2x)=cot^2x

User NevilleDNZ
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1 Answer

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cos(x)(sec(x)+1_/((sec(x))^2-1)
(1+cos(x))/(tan(x))^2 as (sec(x))^2-1=(tan(x))^2
so cos(x)/(sec(x)-1)-(cos(x)/(tan(x)^2)=(1+cos(x)/((tan(x)^2)-(cos(x)/(tan(x))^2)=1/(tan(x))^2=(cot(x))^2
User Volkersfreunde
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