Quiz (Addition and Subtraction Formulas)

Show all work and justify each step.

(1) Find the exact value of and

(2) If and for a second quadrant angle and a third quadrant angle find
    (a)
    
    (b)
    
    (c)
    
    (d)
    
    (e)
    
    (f)
    
(3) If and are second quadrant angles such that and find

    (a)
    
    (b)
    
    (c) the quadrant containing

(4) Verify the following identities.

    (a)
    
    (b)
    
(5) Solve the following equations on the interval [0, ).

    (a)
    
    (b)
    
(6) Sketch the graph by expressing as a function involving only one trigonometric function. Label the amplitude, period, and phase shift.