In the following question, two statements (i) and (ii) are given. Choose the valid statement. i. sin2 θ + cos2 θ = 1 ii. cosec2 θ + cot2 θ = 1

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Only (i) Explanation: This is the fundamental Pythagorean Identity. It is derived from the Pythagorean theorem (a2 + b2 = c2) applied to a unit circle, where the x-coordinate is cos $\theta$ and the y-coordinate is sin $\theta$.

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