SOF International Mathematics Olympiad (IMO)
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Set C
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2024
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Sample
Simplify: sin 55° / cos 35°
Explanation
Explanation
Since 55° and 35° are complementary angles (they add to 90°), sin 55° = cos 35° (co-function identity: sin θ = cos(90° - θ)). So sin 55° / cos 35° = 1.
PRO TIP
Re-check your working by substituting the answer back into the original question.
Related Questions
Solve the pair of linear equations for x: 1x + 5y = 11 and 5x + -4y = 26.