cos2α/tan(α+π/4)=
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cos2α/tan(α+π/4)=cos2α/tan(α+π/4)=cos2α/tan(α+π/4)=cos2α/tan(α+π/4)=(cos²α-sin²α)/[(tanα+1
cos2α/tan(α+π/4)=
cos2α/tan(α+π/4)=
cos2α/tan(α+π/4)=
cos2α/tan(α+π/4)
= (cos²α - sin²α) / [(tanα+1)/(1-tanα)]
= cos²α (1-tan²α)/ [(tanα+1)/(1-tanα)]
= cos²α (1-tan²α)(1-tanα)/ (1+tanα)
= cos²α(1-tanα)²
=(cosα-sinα)²
=1 - 2sinα*cosα
=1 - sin 2α
cos2α/tan(α+π/4)=
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