SOF International Mathematics Olympiad (IMO)
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Set B
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2025
.
Sample
Simplify: sin 25° / cos 65°
Explanation
Explanation
Since 25° and 65° are complementary angles (they add to 90°), sin 25° = cos 65° (co-function identity: sin θ = cos(90° - θ)). So sin 25° / cos 65° = 1.
PRO TIP
Re-check your working by substituting the answer back into the original question.
Related Questions
Find the remainder when p(x) = 3x² + (-6)x + (-8) is divided by (x - 2).