Question

if tanx + 1/tanx = 2 then show tan^2 x + 1/tan^x = 2

Answer 1

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Answer 2

tanx +1/tanx=2
(tanx +1/tanx)^2=2^2
tan^2+(1/tan)^2+2*tanx *1/tanx =4 (a+b)^2
tan^2+1/tan^2x +2=4
tan^2x+ 1/tan^2x =2