SOF International Mathematics Olympiad (IMO)
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IMO Level 1
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2024
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Sample
Simplify: sin 20° / cos 70°
Explanation
Explanation
Since 20° and 70° are complementary angles (they add to 90°), sin 20° = cos 70° (co-function identity: sin θ = cos(90° - θ)). So sin 20° / cos 70° = 1.
PRO TIP
Re-check your working by substituting the answer back into the original question.