2015 · Q58
If tan(A + B) = √3 and tan A = 1, then tan(A − B) is equal to
Elementary MathematicsTrigonometry
- A0
- B1
- C1/√3
- D√2
Explanation
tan(A+B) = √3 gives A+B = 60° (mod 180°) and tanA = 1 gives A = 45° (mod 180°), so A−B = 30° (mod 180°) and tan(A−B) = tan30° = 1/√3 (option C). Stored key corrected from B to C.