SOF International Mathematics Olympiad (IMO)
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Set C
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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
Determine the nature of the roots of 3x² + (4)x + (-3) = 0 using the discriminant.