Section: AP Calc AB

38) Evaluate tan(sin^-1(²/₃))

1. ²/₃
2. ²/_√3 
3. ²/₅
4. ²/_√5 

Drawing the right triangle with 3 sides: 2,3 and √2² + 3²  = √5 . With the angle θ is the angle between the sides 3 and √5 .

So, tan(sin^-1(²/₃)) = tan θ = ²/_√5