Find the reference number for each value of t.

Question

 Find the reference number for each value of t.

 

1. a.) t=5pi/4

    b.) t= 7pi/3

    c.) t= -4pi/3

    d.) t=pi/6

 

2.)  Find (a) the reference number for each value of t and (b) the terminal point determined by t.
       a.) t= 2pi/3

       b.) t=13pi/4

 

Answer 1

By reference number do you mean which quadrant each angle resides in?

 

If so:

quadrant 1 is 0.0pi<t<0.5pi

quadrant 2 is 0.5pi<t<1.0pi

quadrant 3 is 1.0pi<t<1.5pi

quadrant 4 is 1.5pi<t<2.0pi

 

1.

a. 1.25pi -> 3

b. 2.33pi -2.0pi = 0.33pi -> 1

c. -1.33pi + 2.0pi = 0.67pi ->2

d. 0.17pi -> 1

 

2.

a. 0.67pi -> 2, terminal point = 0.67pi

b. 3.25pi - 2.0pi = 1.25pi -> 3, terminal point = 1.25pi