Show that the point is on the unit circle

Question

  Show that the point is on the unit circle

 

 

1.)  (5/13, 12/13)

 

2.) (√pi/6, 5/6)

 

 Find the terminal point on the unit circle determined by the given value of t.

 

a.)  t= -pi/2

 

b.) t=5pi/6

Answer 1

To show that the coordinates reside on the unit circle one must show that the hypotenuse is equal to 1.

 

Thus

1. (5/13)^2 + (12/13)^2 = 1

2. this coordinate does not reside on the unit circle, is it written correctly?

 

Observe the "special" angles on a unit circle graph to determine that:

a. (0,-1)

b. (-√3/2,1/2)