For small angles measured in radians

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For small angles measured in radians, the numerical value of the angle is almost the same as the value of its sine. For which of the following angles does this difference first exceed 1 %? (a) 5∘5^{\circ} (b) 15∘15^{\circ} (c) 12∘12^{\circ} (d) 18∘18^{\circ}

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