How do you evaluate tan1((33))?

1 Answer

We notice that for an angle θ we have that

tanθ=33=13=1232

Now we need to find the angles θ1,θ2 which have

sinθ1=12 and cosθ1=32

and

sinθ2=12 and cosθ2=32

These angles are θ1=150o=5π6 and θ2=330o=11π6