Name: _________________________
Period: ___________
Quiz 12 Review
Instructions:
These problems to help you prepare for the quiz.
1. Draw two special triangles in radians.
2. Determine the reference angle of the following and find its quadrant. You may draw a
unit circle to help you.
a. 120°
Quadrant: _________
Reference Angle: ___________
b. 210°
Quadrant: _________
Reference Angle: ___________
Quadrant: _________
Reference Angle: ___________
Quadrant: _________
Reference Angle: ___________
Quadrant: _________
Reference Angle: ___________
c.
d.
e.
!!
!
!!
!
!!!
!
87#
3. If ! is an angle in standard position and !(−3, 4) is a point on the terminal side of !,
what is the value of sin !?
4. If the terminal side of angle !, in standard position, passes through point −4, 3 , what is
the value of sin ! ?
!
5. Point !( ,
!
!
!
) is on the unit circle whose center is the origin. If ! is an angle in standard
position whose terminal ray passes through point !, what is the value of sin!!?
6. A circle centered at the origin has a radius of 10 units. The terminal side of an angel, !,
intercepts the circle in Quadrant II at point C. The y-coordinate of point C is 8. What is
the value of cos !?
7. Determine the exact value of csc ! if ! is an angle in standard position and its terminal
side passes through the point 5, −8 .
8. Determine an exact value of each of the following trig functions.
a. sin 120°
b. sin
!!
c. cos 90°
d. csc
!!
e. sec 225°
f. sec
!!
g. cot 330°
h. sin − !
!
!
!
!