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Question - Trigonometric Identities - Proof and Applications of the Identity

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ConceptTrigonometric Identities - Proof and Applications of the Identity  

Question

Prove that ` \frac{\sin \theta -\cos \theta +1}{\sin\theta +\cos \theta -1}=\frac{1}{\sec \theta -\tan \theta }` using the identity sec2 θ = 1 + tan2 θ.

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