How do you prove #(1-tantheta)/(1+tantheta)=(cottheta-1)/(cottheta+1)#?

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Answer 1 · 2016-10-05T18:15:15

see below

#(1-tan theta)/(1+tan theta) = (cot theta -1)/(cot theta +1)#

Right Side: #= (cot theta -1)/(cot theta +1)#

#=(1/tan theta -1)/(1/tan theta +1)#

#=((1-tantheta)/tan theta)/((1+tan theta)/tantheta)#

#=(1-tantheta)/tan theta * tan theta/(1+tan theta)#

#=(1-tan theta)/(1+tan theta)#

#=#Left Side