Download Name: _____ TP: ______ CRS FUN 703

CW#70H: Quiz Review
Honors Geometry
DUE: Wednesday, March 18th, 2015
Name: _________________________________________ TP: ______
CRS
Objective
FUN 703 - Exhibit knowledge of unit circle trigonometry.
10.13 Find exact values of the 6 trigonometric functions; 10.14 Find reference angles; 10.15A Determine the quadrant
[including naming quadrants as an interval] of an angle given the sign(s) of trig function(s); 10.15B Evaluate the 6
trigonometric functions of any angle using reference angles; 10.16 Evaluate inverse trig functions
Failure to show all work and write in complete sentences will result in LaSalle!
Homework Review:
1) Solve the equation for 
without a calculator. Give your
answer in both radians and
degrees.

tan   ( 3)
2) ) Solve the equation for 
without a calculator. Give your
answer in both radians and
degrees.

1
cos   ( )
2

3) Solve the equation for 
without a calculator. Give your
answer in both radians and
degrees.

3
sin   (
)
2

Objective 10.13: Find the exact value of each of the remaining trigonometric functions of .
1. sin
2. cos
3. (-3, -3)
4. (
)
Objective: 10.14 – Find reference Angles
Find the reference angle of each angle. GRAPH THE ANGLES IN THE COORDINATE PLANE.
5. 150
6. 120
7. Rewrite the expression using reference angles
and then solve.
8.
sin 135 ͦ + cos 17π/6 + tan (-π/3)
Objective: 10.15a – Determine the quadrant [including naming quadrants as an interval] of an angle
given the sign(s) of trig function(s)
Directions: Name the quadrants for the following 9. If 180ᵒ < θ < 270ᵒ, then we know θ lies in which
quadrant?
reference angles, given the inequalities.
And the reference angle θ’ =
10. If 270ᵒ < θ < 360ᵒ, then we know θ lies in which
quadrant?
And the reference angle θ’ =
12. Practice Quiz Question: Find the remaining 6
trig functions of  given the following:
11. If 90ᵒ < θ < 180ᵒ, then we know θ lies in which
quadrant?
And the reference angle θ’ =
13. Practice Quiz Question: Find the exact value for
the following:
sec  = 2 , sin  < 0
sin 510⁰
Explain how you determined the quadrant of 
and include a graph of your triangle with sec  = 2.
Explain how you determined the quadrant of  and
include a graph of your triangle.
Objective: 10.15B - Evaluate the 6 trigonometric functions of any angle using reference angles
14. sin 510⁰
15. cos 600⁰
16. cos 540⁰  tan (  405⁰)
17. 6cos (

3
) + 2tan (  )
4
3
Fill in the ratios for the special right triangles given the location of the marked angle. Use these
ratios to help you answer 18-23

4

3
Objective: 10.6 Evaluate inverse trig functions (4)
3
18.
cos 1
2
 = ________ in degrees  = ________ in radians
19.
tan 1 3
 = ________ in radians  = ________ in degrees
21. cot  = 1

20.
sec
1
2 



 = ________ in radians  = ________ in degrees
 = ________ in radians  = ________ in degree



Practice Multiple Choice Quiz:
1) If  is an acute angle of a right triangle and
2
tan   , what is the value of sec  ?
3
2) What is the reference angle for 


A. 
3 13
A.
13
13
B.
3
3
C.
2
5
D.
2
13
E.
3




B. 



A.  3
2 3
B. 
3
3
C.
3
2 3
D.
3
E. 3









4


A.  2 radians

B.  radians
2
C. 0 radians

D. radians
2
E.  radians

6) For 0  x  2 , if tan x  0 and cos x  0 , what are
the possible values of x?



3

4) What is the value of the expression cos11?
5) Let ( 3,1) be a point on the terminal side 
of
an angle  in standard position. What is the value

of cot  ?

A.  3
3
B. 
3
3
C.
3
3
D.
2
E. 3



2
3) Find the exact value of the expression csc(  ) .
3



C.
6

D.
4

E.
3
7
?
4

A. 0  x 
B.

2
C.   x 

D.



2
 x 



3
2
3
 x  2
2
E. 0  x  2
Answers: 1. ___, 2. ___, 3. ___, 4. ___, 5. ___, 6. ___