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

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

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

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

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

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