Simplify and select the equivalent expressions — task. Maths CBSE Homework Assignments, Class 10.

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

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

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

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

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