prove that sec2 theta - cos 2 theta =sin 2 theta (sec 2 theta - 1)

Dear student
sec2θ-cos2θ=secθ-cosθsecθ+cosθ=1cosθ-cosθ1cosθ+cosθ=1-cos2θcosθ1cosθ+cosθ=sin2θcosθ1cosθ+cosθ=sin2θ1cos2θ+1=sin2θsec2θ+1
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prove that sec2theta - cos2theta = sin2theta (sec2theta +1)
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