Example problems IV — task. Mathematics CBSE, Class 10.

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Prove that,

\frac{\sin θ - \cos θ + 1}{\sin θ + \cos θ - 1} = \frac{1}{\sec θ - \tan θ}

by using the identity

\sec^{2} θ = 1 + \tan^{2} θ

Important!

This is a creative exercise. Your teacher will check it manually.

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4. Example problems IV