2021 · Q44
Let ABC be a triangle right angled at C, then what is tan A + tan B equal to?
Elementary MathematicsTrigonometry
- Aa/bc
- Ba²/bc
- Cb²/ca
- Dc²/ab
Explanation
In the right triangle, tan A = a/b and tan B = b/a (opposite/adjacent about each acute angle). Their sum is a/b + b/a = (a²+b²)/ab = c²/ab by Pythagoras. Hence option D.