ALGEBRA II HONORS
SEMESTER 2 EXAM PRACTICE MATERIALS
UNIT 8.11 – 8.14
2014-2015
___________________________________________________________________________
1. (8.11) Which of the following is equivalent to
1  sin 2 
 tan  ?
1  cos2 
(A) tan 
(B) cot 
(C) sin 
(D) cos


2. (8.11) If cos x  0.45 , what is sin  x   ?
2

(A) 0.55
(B) 0.45
(C) 0.45
(D) 0.55

?
cos  cot 2   1
3. (8.11) Which of the following is equivalent to
csc 
(A) tan 
(B) cot 
(C) sec
(D) csc
Revised Feb 2014
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ALGEBRA II HONORS
SEMESTER 2 EXAM PRACTICE MATERIALS
UNIT 8.11 – 8.14
2014-2015
___________________________________________________________________________
4. (8.11) Which expression(s) equal sin  ?
I.
1
csc 
II. csc
III.
1
sec 
IV. tan  cos
(A) I only
(B) III only
(C) I and IV
(D) II and IV
5. (8.11) Which expression(s) are not equal to tan 2  ?
I. sec2   1
II. sec2   1
III.
sin 2 
cos 2 
IV.
1
cot 2 
(A) I
(B) II
(C) III
(D) I and IV
6. (8.11) What is the equivalent equation when you multiply tan 2   1  sec2  by cos2  ?
(A) csc2   cos2   cos2  sec2 
(B) sec2   cos2   cot 2 
(C) sec2   cos2   1
(D) sin 2   cos2   1
Revised Feb 2014
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ALGEBRA II HONORS
SEMESTER 2 EXAM PRACTICE MATERIALS
UNIT 8.11 – 8.14
2014-2015
___________________________________________________________________________
7. (8.11) Verify that the following equation is an identity.
cos x
1  sin x

1  sin x
cos x
8. (8.11) Use fundamental identities to simplify the expression.
sin  tan 
cos 
9. (8.11) Verify that the trigonometric equation is an identity.
sin 4   cos4   2sin 2  1
10. (8.12) Find the exact value of sin 75 .
11. (8.12) Find the exact value of tan
7
.
12
12. (8.13) Find the exact value of cos15 using half-angle identity for cosine.
13. (8.14) Which of the following is not a solution of 0  sin   cos tan 2  ?
(A)
3
4
(B)
7
4
(C) 2
(D)
5
2
Revised Feb 2014
Page 3
ALGEBRA II HONORS
SEMESTER 2 EXAM PRACTICE MATERIALS
UNIT 8.11 – 8.14
2014-2015
___________________________________________________________________________
14. (8.14) The graph of y  2 cos  is shown. Which is a solution for 2cos  1
(A)
8
3
(B)
10
3
(C)
13
3
(D)
15
3
(8.14) Find all solutions of each equation on the interval 0, 2  .
15. sin x tan x  sin x
16. cos4 x  cos2 x  2  0
17. 2cos2 x  sin x 1  0
Revised Feb 2014
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