Answer: 4.
- A 4
- B 6
- C 8
- D 2
Correct answer: A. 4
Explanation: tan 75° = 2+√3. cot 75° = tan 15° = 2-√3. Sum = 4.
Unit circle with standard angles 0, 30, 45, 60, 90 degrees; at 45 degrees the point is (cos45, sin45) = (1/sqrt2, 1/sqrt2).
Concept context
Ratios, identities, and applications in triangles