2019 · Q35
What is the value of (sin 19°/cos 71°) + (cos 73°/sin 17°)?
Elementary MathematicsTrigonometry
- A0
- B1
- C2
- D4
Explanation
Use complementary angles: cos71° = cos(90° − 19°) = sin19°, so the first fraction equals 1. Similarly cos73° = cos(90° − 17°) = sin17°, so the second fraction also equals 1. The sum is 1 + 1 = 2. The answer is (C).