Download Document 8940281

Name: _______________________________________________
Date: _________________
Period: ____
Chapter 8 Review Sheet: Intro to Trig
TEST THURSDAY 02/04/2016
Evaluating Trigonometry: Check all answers on your calculator to ensure you know how to use your
calculator properly!
1) Given
2) Given
a. Find
b. Find where
a. Find
is undefined
3) Given
a. Find
b. Find
4) Find the exact value of the following:
a.
b.
c.
d.
Basic Trigonometry:
5) The angle of elevation from a point 10 feet away from the base of a tree on level ground to the top of the
tree is
. How tall is the tree to the nearest tenth of a foot?
6) A 16-foot ladder, leaning against a restaurant, reaches the bottom of a sign that is 14 feet above the
ground. To the nearest minute, find the angle that the ladder makes with the ground.
7) Solve for x:
a.
b.
c.
To the nearest minute
Working with Trigonometry:
8) For each angle below find: (a) a coterminal angle, (b) the reference angle, and (c) convert to radians
a.
b.
c.
d.
e.
9) For each angle below, convert to degrees
a.
b.
10) Determine the quadrant in which x lies:
a. sin x > 0 and cot x < 0
c. sec x > 0 and sin x < 0
e. Point x =
11) Given
c.
b. csc x < 0 and cot x < 0
d. cos x > 0 and csc x > 0
f. Point x =
, find the value of
,
and
. (Draw & label a triangle first!)
12) Find the exact value of each of the following functions:
a.
b.
c.
13) Express the following as the function of a positive acute angle:
a.
b.
c.
14) Express the following as the function of a positive acute angle less than 45 :
a.
b.
c.
Name: _______________________________________________
15) CHARTS!
0
30
45
Date: _________________
TRIG IDENTITIES
60
90
180
Period: ____
270
RECIPROCAL IDENTITIES
(as
reciprocal)
0
30
45
60
90
180
270
KEY
Evaluating Trigonometry:
1. a.
b.
2.a.
Basic Trigonometry:
5. The tree is about 7.3 feet tall
3a. 1 b.
6. The ladder makes a
Working with Trigonometry:
8.
a.
Coterminal Angles
480 ,
(you may have
-240
others!)
Reference Angle
60
Radians
9. a. 70
10. a. 2
b. 36
4. a. 1
angle
b.
7. a. 77
c. -1
d.
b. 11.8
c.
b.
310 , -410
c.
675 , -45 ,
-405
d.
-495 , 225 ,
585
e.
-120 , 600
50
45
45
60
c. 300
b. 4
c. 4
d. 1
e. 3
f. 2
11.
12. a.
b.
c.
13. a.
b.
c.
14. a.
b.
c.