Solving for F1 Angle Components using Spherical Coordinates

[Feodalherren]

Homework Statement

Specify the coordinate direction angle α,β,γ of F1.

Homework Equations

The Attempt at a Solution

γ= 90-30 = 60
The only obvious one.

I have no clue how I'm supposed to see what the other are. α seems to me like it's 320 degrees because if you rotate in the positive direction on the XY-plane then that's where you'll end up.

To find the final angle I suppose I'm just supposed to use the equation with the cosine of all three angles squared.

 

[Simon Bridge]

You need to start by clearly stating the definitions of the angles.

 

[LCKurtz]

Hint 1: The components of a unit vector in a direction give the direction cosines.

Hint 2: How are your given angles related to spherical coordinate angles?