Question:

Find the value of \( \sin 0 \times \csc 0 \):

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The reciprocal identity \( \sin x \times \csc x = 1 \) is always valid for non-zero angles.
  • \( 1 \)
  • \( 0 \)
  • \( \frac{1}{2} \)
  • \( \sqrt{2} \)
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The Correct Option is A

Solution and Explanation

Step 1: Using the trigonometric identity: \[ \sin x \times \csc x = 1 \quad \text{for all } x \neq 0. \] Substituting \( x = 0 \), we get: \[ \sin 0 \times \csc 0 = 1. \]
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