Recommended 17

Math 140
Hw 17
Recommended problems, don't turn this in.
Simplify.
sin 2 Acos 2 A
A. sin Acos A
q
Hint: factor the top.
3
B. sin 2  cos  csc 3  sec 
4x
b
C. cot B sin 2 B cot B
D.
3
2x
cos 2 Acos A12
N. Find sin q, cos q, tan q.
cos A3
tan 
tan 
E. sec 1  sec 1
sin q =
cos q =
F. sec A csc A  tan A  cot A
cot 2 
G. csc 2 
tan q =
tan 2 
O. Find sin b, cos b, tan b.
sin b =
 sec2 
cos b =
Prove the identities.
H. sin  cos  sec  csc   1
tan b =
The angles below are acute.
P. cos B = 4/7, find sin B and tan B.
sin B =
I. cos Asec A  cos A  sin 2 A
tan B =
J. 1  sin sec   tan   cos 
K. sin A  cos A

sin A
1cot A

Q. sin q = 2 3 /5, find cos q and tan q.
cos  
cos A
tan A1
tan  
R. sin q = x/2, find cos q and tan q.
cos q =
tan q =
1cos 2 A
L. sinAtanA  cos A
S. cos q = x , find sin q and tan q.
2
sin q =
tan q =
M. Find sin A, cos A, tan A.
2
3
A
sin A =
cos A =
tan A =
Answers
A. sin A  cos A
B. csc 
C. cos 2 B
D. cos A  4
E. 2 csc 
F. 0
G. 1
3
M. cos A  13
, sin A 
N. sin  
2
13
, tan A 
2
3
Q. cos  
2x
, cos   4x32 9 , tan   2x3
4x 2 9
16x 2 9
16x 2 9
3
,
cos


,
tan


4x
3
4x
33
33
,
tan
B

7
4
13
2 3
5 , tan   13
R. cos  
4x 2
2
O. sin  
P. sin B 
, tan  
S. sin   1  x 4 , tan  
x
4x 2
1x 4
x2