SOF International Mathematics Olympiad (IMO)
·
Set A
·
2024
.
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.
Related Questions
Solve the pair of linear equations for x: 1x + 3y = 12 and 5x + -1y = -20.
The angle of elevation of the top of a tower from a point on the ground 10 m away from its base is 60°. Find the height of the tower. (Use √3 = 1.73 where needed)