Name: 
 

Pre-Calculus Test 7 Sample



 1. 

If mc001-1.jpg , find mc001-2.jpg.
a.
mc001-3.jpgmc001-4.jpg
c.
mc001-7.jpgmc001-8.jpg
b.
mc001-5.jpgmc001-6.jpg
d.
mc001-9.jpgmc001-10.jpg
 

 2. 

Find the exact value of mc002-1.jpg.
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 

Find the exact value of  mc003-1.jpg.
a.
1
c.
mc003-3.jpg
b.
mc003-2.jpg
d.
0
 

 4. 

Find the reference angle for  288°.
a.
89°
c.
72°
b.
59°
d.
108°
 

 5. 

Calc-Allowed:   If t = sa005-1.jpg and sa005-2.jpg = sa005-3.jpg, find sa005-4.jpg. Round to the nearest tenth.
sa005-5.jpg
 

 6. 

Simplify cos x – sin x cot x.
 

 7. 

What basic trigonometric identity would you use to verify that mc007-1.jpg?
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 

Simplify mc008-1.jpg
 

 9. 

Find the values of the six trigonometric functions for angle q, when mc009-1.jpg and mc009-2.jpg.

mc009-3.jpg
 
 
nar001-1.jpg
 

 10. 

Calc-Allowed:  Use the Law of Sines to find x. Let mc010-1.jpg.
 
 
nar002-1.jpg
 

 11. 

Calc-Allowed:  The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 49 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be mc011-1.jpg.

(a) How far is the satellite from station A?
(b) How high is the satellite above the ground?
 
 
nar003-1.jpg
 

 12. 

Calc-Allowed: To calculate the height of a mountain, angles k, m and distance d are determined, as shown.  Find the height of a mountain if k = 24º, m = 30º, and d = 801 ft.
 
 
nar004-1.jpg
 

 13. 

Calc-Allowed:  Use the Law of Cosines to determine side x if b = 9, c = 20, and mc013-1.jpg.
 

 14. 

Simplify the following trigonometric expression:

mc014-1.jpg.
a.
cos x
b.
tan x
c.
1
d.
cot x
 

 15. 

Simplify the following trigonometric expression as much as possible:

(1 – cos2 x)(1 + cot2 x).
a.
sin x
b.
cot x
c.
sin2 x
d.
1
 

 16. 

Simplify the following trigonometric expression:

tan x cos x csc x.
a.
1
b.
cot x
c.
sin2 x
d.
sin x
 

 17. 

Find the exact value of the expression:

mc017-1.jpg.
 

 18. 

Find the exact value of  mc018-1.jpg.
a.
mc018-2.jpg
c.
1
b.
mc018-3.jpg
d.
0
 

 19. 

Find the exact value of tan –135º.
 
 
Simplify the expression. Write your answer using only positive exponents.
 

 20. 

mc020-1.jpg
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 
 
Solve the equation.
 

 21. 

mc021-1.jpg
 
 
Factor the polynomial completely.
 

 22. 

mc022-1.jpg
 

 23. 

The graph of mr023-1.jpg is shown. Use the graph to identify the factors of mr023-2.jpg.
mr023-3.jpg
 a.
mr023-4.jpg
 d.
mr023-7.jpg
 b.
mr023-5.jpg
 e.
mr023-8.jpg
 c.
mr023-6.jpg
 

 24. 

This is just a a random collection of sample questions and not a complete list.  Please study all your lesssons, notes, and assessments from Chapters 5-7. If you have any questions, please let me know.  I am always happy to help:)))))
 



 
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