Find the angle in degrees corresponding to the radius of the

Find the angle (in degrees) corresponding to the radius of the unit circle ending at the given point. Among the infinitely many possible correct solutions, choose the one with the smallest absolute value. Enter numerical values without units. (1) (- squareroot 3/2, 1/2) (2) (1/2, - squareroot 3/2) (3) (- squareroot 2/2, - squareroot 2/2) Blank #1 Blank #2 Blank #3

Solution

1)angle=- tan^-1[(1/2)_{/(3 /2)}]

angle=- tan^-1[1_/3 ]  

angle=- [_/6 ]

angle=5_/6   

angle=150^o

2)angle=2- tan^-1[(3/2)_{/(1 /2)}]

angle=2- tan^-1[3 ]  

angle=2- [_/3 ]

angle=5_/3   

angle=300^o

3)angle=+ tan^-1[(2 /2)_{/(2 /2)}]  

angle=+ tan^-1[1]  

angle=+ [_/4 ]

angle=5_/4

angle=225^o