SOF International Mathematics Olympiad (IMO)
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IMO Level 1
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2024
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Sample
Simplify: sin 35° / cos 55°
Explanation
Explanation
Since 35° and 55° are complementary angles (they add to 90°), sin 35° = cos 55° (co-function identity: sin θ = cos(90° - θ)). So sin 35° / cos 55° = 1.
PRO TIP
Re-check your working by substituting the answer back into the original question.