(tanθ-1)/(sinθ-cosθ)=secθ

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(tanθ-1)/(sinθ-cosθ)=secθ(tanθ-1)/(sinθ-cosθ)=secθ(tanθ-1)/(sinθ-cosθ)=secθ(tanθ-1)/(sinθ-cosθ)=cosθ

(tanθ-1)/(sinθ-cosθ)=secθ
(tanθ-1)/(sinθ-cosθ)=secθ

(tanθ-1)/(sinθ-cosθ)=secθ
(tanθ-1)/(sinθ-cosθ)
=cosθ(tanθ-1)/(sinθ-cosθ)cosθ
=(sinθ-cosθ)/(sinθ-cosθ)cosθ
=1/cosθ
=secθ