Answer:
According to the diagram,  is the polar angle (the "vertical" angle made with the positive z-axis) and  is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
 
        
             
        
        
        
I need a picture I will answer the question if there is a picture
        
             
        
        
        
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX =  =
 =  =
 =  , then
 , then
∠ YZX =  (
 (  ) ≈ 19.7° ( to 3 significant figures )
 ) ≈ 19.7° ( to 3 significant figures )
 
        
             
        
        
        
third option is the correct answer....