SOF International Mathematics Olympiad (IMO)
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IMO Level 1
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2026
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Sample
Simplify: sin 40° / cos 50°
Explanation
Explanation
Since 40° and 50° are complementary angles (they add to 90°), sin 40° = cos 50° (co-function identity: sin θ = cos(90° - θ)). So sin 40° / cos 50° = 1.
PRO TIP
Re-check your working by substituting the answer back into the original question.
Related Questions
If a : b = 2 : 3 and b : c = 4 : 5, then a : c is equal to: