Simplify and select the equivalent expressions — task. Mathematics CBSE, Class 10.

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1. \(1 + \frac{\cot^2 α}{1 + \text{cosec}\: α}\) \(=\)

\(\sec α\)
\(\cos α\)
\(\text{cosec}\: α\)

2. \(\frac{\cot α - \cos α}{\cot α + \cos α}\) \(=\)

\(\frac{\cos α - 1}{\cos α + 1}\)
\(\frac{\text{cosec}\: α - 1}{\text{cosec}\: α + 1}\)
\(\frac{\sec α - 1}{\sec α + 1}\)

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