(secx/tanx)^2-(1/tanx^2)

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use identities to simplify expression

May 6th, 2015

the equation must be in  the form (sec x/tan x)^2-(1/(tan x)^2)

(sec x/tan x)^2-(1/(tan x)^2)=(sec x)^2/(tan x)^2-1/(tan x)^2=(1/(tan x)^2)*((sec x)^2-1)=(1/(tan x)^2)*((1/(cos x)^2)-1)

=(1/(tan x)^2)*((1-(cos x)^2)/(cos x)^2)=(1/(tan x)^2)*((sin x)^2/(cos x)^2)=(1/(tan x)^2)*(tan x)^2=

=(tan x)^2/(tan x)^2=1


May 6th, 2015

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